diff --git a/crates/doc/src/hit.rs b/crates/doc/src/hit.rs
index d93f923d3..705842c39 100644
--- a/crates/doc/src/hit.rs
+++ b/crates/doc/src/hit.rs
@@ -110,6 +110,36 @@ pub fn hit_test_visible(doc: &Document, p: Point, opt: HitOptions) -> Option<Hit
     hit_test_skipping(doc, p, opt, &|_| false, false)
 }
 
+/// The object of `selected` (topmost first) whose own art lies under `p` where a clipping mask
+/// hides it: a clip group (or a layer with a clipping mask) holding it doesn't clip to `p`. A
+/// click there hits nothing ([`hit_test`]), so the selection tools grab the selection by that
+/// art instead of starting a marquee: an image in a mask, picked in the Layers panel, can be
+/// dragged by its hidden part, whose frame shows while it is selected. An object that a click
+/// can't hit anyway doesn't count: hidden, locked, a template, outside the isolated container
+/// (`opt.scope`) or on a locked artboard.
+pub fn selected_hidden_at(doc: &Document, p: Point, opt: HitOptions, selected: &[NodeId]) -> Option<NodeId> {
+    let symbols = doc.symbol_boxes();
+    let locks = doc.locked_artboards();
+    selected.iter().rev().copied().find(|&id| {
+        let Some(chain) = doc.ancestry(id) else { return false };
+        let nodes: Vec<&Node> = chain.iter().filter_map(|a| doc.node(*a)).collect();
+        if nodes.len() != chain.len()
+            || nodes.iter().any(|n| !n.visible || n.locked || n.is_template())
+            || opt.scope.is_some_and(|s| !chain.contains(&s))
+            || locks.holds_id(id)
+        {
+            return false;
+        }
+        // Hidden by a mask: one of the containers around it clips, and not to `p`.
+        let masked = nodes
+            .iter()
+            .rev()
+            .skip(1)
+            .any(|n| n.clips() && n.children().and_then(|c| c.first()).is_some_and(|clip| clip.id != id && !clip_contains(clip, p)));
+        masked && nodes.last().is_some_and(|n| hit_any(n, p, opt, &symbols).is_some())
+    })
+}
+
 /// The objects under `p` that [`Hit::top_object`] picks in `scope` (isolation mode), topmost
 /// first: what clicks there select, one below the other (Cmd/Ctrl-click selects behind).
 pub fn objects_at(doc: &Document, p: Point, opt: HitOptions, scope: Option<NodeId>) -> Vec<NodeId> {
diff --git a/crates/doc/src/hit/tests.rs b/crates/doc/src/hit/tests.rs
index 43db8ee16..641a349e4 100644
--- a/crates/doc/src/hit/tests.rs
+++ b/crates/doc/src/hit/tests.rs
@@ -77,6 +77,48 @@ fn half_clipped(d: &mut Document) -> (Node, Node) {
     (mask, art)
 }
 
+/// The art a mask hides counts only for a selected object: there a click hits nothing, and the
+/// selection tools grab the selection by that art. Not where the art shows (the click hits it),
+/// beyond the art, for the clip group selected as a whole, nor for art a click can't hit (locked,
+/// hidden, outside the isolated container). A layer's clipping mask hides art as a clip group's
+/// does.
+#[test]
+fn a_selected_objects_art_hidden_by_a_mask_is_found_under_the_pointer() {
+    let mut d = Document::new(300.0, 200.0);
+    let l = d.layers[0].id;
+    let (mask, art) = half_clipped(&mut d);
+    let (g, art_id) = (d.alloc_id(), art.id);
+    let mut clip = Node::group(g, vec![Arc::new(mask), Arc::new(art)]);
+    clip.set_clips(true);
+    d.insert(Some(l), 0, clip).unwrap();
+    let (hidden, shown, beyond) = (Point::new(150.0, 50.0), Point::new(50.0, 50.0), Point::new(250.0, 50.0));
+    let opt = HitOptions::default();
+    assert!(hit_test(&d, hidden, opt).is_none());
+    assert_eq!(selected_hidden_at(&d, hidden, opt, &[art_id]), Some(art_id));
+    assert_eq!(selected_hidden_at(&d, hidden, opt, &[]), None);
+    assert_eq!(selected_hidden_at(&d, shown, opt, &[art_id]), None);
+    assert_eq!(selected_hidden_at(&d, beyond, opt, &[art_id]), None);
+    assert_eq!(selected_hidden_at(&d, hidden, opt, &[g]), None);
+    assert_eq!(selected_hidden_at(&d, hidden, HitOptions { scope: Some(g), ..opt }, &[art_id]), Some(art_id));
+    assert_eq!(selected_hidden_at(&d, hidden, HitOptions { scope: Some(art_id), ..opt }, &[art_id]), Some(art_id));
+    let other = d.add_layer(Some("Other"));
+    assert_eq!(selected_hidden_at(&d, hidden, HitOptions { scope: Some(other), ..opt }, &[art_id]), None);
+    for change in [|n: &mut Node| n.locked = true, |n: &mut Node| n.visible = false] {
+        let mut d = d.clone();
+        change(d.node_mut(art_id).unwrap());
+        assert_eq!(selected_hidden_at(&d, hidden, opt, &[art_id]), None);
+    }
+    // A layer's clipping mask.
+    let mut d = Document::new(300.0, 200.0);
+    let l = d.layers[0].id;
+    let (mask, art) = half_clipped(&mut d);
+    let art_id = art.id;
+    d.insert(Some(l), 0, mask).unwrap();
+    d.insert(Some(l), 1, art).unwrap();
+    d.node_mut(l).unwrap().set_clips(true);
+    assert_eq!(selected_hidden_at(&d, hidden, opt, &[art_id]), Some(art_id));
+}
+
 /// #2345: a marquee touches a clip group only where its art shows. Over the clipped-away
 /// half alone it selects nothing, and around a rectangle drawn beside the group's mask it
 /// takes that rectangle alone; reaching into the mask takes the group. The same holds for
diff --git a/crates/tools/src/direct.rs b/crates/tools/src/direct.rs
index 25fd03514..f4b1f4744 100644
--- a/crates/tools/src/direct.rs
+++ b/crates/tools/src/direct.rs
@@ -37,7 +37,7 @@
 use std::borrow::Cow;
 
 use serde_json::{Value, json};
-use vectorcraft_doc::hit::{HitKind, compound_part_at, hit_test};
+use vectorcraft_doc::hit::{HitKind, compound_part_at, hit_test, selected_hidden_at};
 use vectorcraft_doc::{AnchorRef, Node, NodeId, NodeKind, Selection};
 use vectorcraft_geom::{Anchor, PathData, Point, Rect, Vec2};
 
@@ -563,6 +563,9 @@ impl Tool for DirectSelectionTool {
                 if let Some(h) = hit_test(cx.doc, p, cx.selection_hit_options()) {
                     return self.press_object(cx, ev, p, tol, h);
                 }
+                if let Some(out) = self.press_hidden(cx, ev, p) {
+                    return out;
+                }
                 self.state = State::Marquee { start: p, cur: p, toggle: ev.mods.shift, enclosed: false };
                 vec![]
             }
@@ -851,12 +854,26 @@ impl DirectSelectionTool {
 mod tests;
 
 impl DirectSelectionTool {
+    /// A press where a clipping mask hides the art of a selected object (picked in the Layers
+    /// panel, say) grabs the selection by it, as a press on its visible part does; `None`
+    /// elsewhere, and with Shift (a marquee then adds to the selection).
+    fn press_hidden(&mut self, cx: &ToolContext, ev: &PointerEvent, p: Point) -> Option<Vec<Action>> {
+        if ev.mods.shift {
+            return None;
+        }
+        selected_hidden_at(cx.doc, p, cx.selection_hit_options(), &cx.selection.objects)?;
+        self.state = State::MoveObject { start: p, grab: None, hold: p, began: false, deselect: None };
+        Some(vec![])
+    }
     fn press_group(&mut self, cx: &ToolContext, ev: &PointerEvent, p: Point, tol: f64) -> Vec<Action> {
         if let Some(out) = self.guide.press(cx, ev) {
             self.state = State::Idle;
             return out;
         }
         let Some(mut h) = hit_test(cx.doc, p, cx.selection_hit_options()) else {
+            if let Some(out) = self.press_hidden(cx, ev, p) {
+                return out;
+            }
             self.state = State::Marquee { start: p, cur: p, toggle: ev.mods.shift, enclosed: false };
             return vec![];
         };
diff --git a/crates/tools/src/direct/tests.rs b/crates/tools/src/direct/tests.rs
index a77c13794..2358e5fb7 100644
--- a/crates/tools/src/direct/tests.rs
+++ b/crates/tools/src/direct/tests.rs
@@ -2,6 +2,33 @@ use super::*;
 use crate::testutil::*;
 use vectorcraft_doc::Selection;
 
+/// Direct Selection and Group Selection grab a selected clipped object (picked in the Layers
+/// panel) where its mask hides it, as on its visible part: a drag moves it. With nothing of it
+/// selected there, a press starts a marquee.
+#[test]
+fn a_press_where_a_mask_hides_a_selected_object_drags_it() {
+    let (d, _, _, art) = doc_with_masked_square();
+    let p = paint();
+    let mut picked = Selection::default();
+    picked.add(art);
+    let none = Selection::default();
+    // (370, 450): on the art, outside the mask (400..500).
+    for group in [false, true] {
+        let c = cx(&d, &picked, &p);
+        let mut t = DirectSelectionTool::new(group);
+        let down = t.pointer(&c, &PointerEvent::new(PointerKind::Down, 370.0, 450.0));
+        assert!(!down.iter().any(|a| matches!(a, Action::Exec(c, _) if c.starts_with("select."))), "{down:?} (group: {group})");
+        let a = t.pointer(&c, &PointerEvent::new(PointerKind::Drag, 390.0, 470.0));
+        assert!(a.iter().any(|a| matches!(a, Action::Begin(n) if n == "Move")), "{a:?} (group: {group})");
+        t.pointer(&c, &PointerEvent::new(PointerKind::Up, 390.0, 470.0));
+        let c = cx(&d, &none, &p);
+        let mut t = DirectSelectionTool::new(group);
+        t.pointer(&c, &PointerEvent::new(PointerKind::Down, 370.0, 450.0));
+        let a = t.pointer(&c, &PointerEvent::new(PointerKind::Drag, 390.0, 470.0));
+        assert!(!a.iter().any(|a| matches!(a, Action::Begin(_))), "{a:?} (group: {group})");
+    }
+}
+
 /// #414: a ruler guide is picked over the art, but an anchor on it is picked first.
 #[test]
 fn direct_and_group_selection_pick_ruler_guides() {
diff --git a/crates/tools/src/select.rs b/crates/tools/src/select.rs
index f6d8eb9e5..8d839602a 100644
--- a/crates/tools/src/select.rs
+++ b/crates/tools/src/select.rs
@@ -37,7 +37,7 @@ use std::cell::RefCell;
 use std::collections::HashMap;
 
 use serde_json::{Value, json};
-use vectorcraft_doc::hit::{Hit, HitKind, hit_test, marquee, objects_at};
+use vectorcraft_doc::hit::{Hit, HitKind, hit_test, marquee, objects_at, selected_hidden_at};
 use vectorcraft_doc::{NodeId, OrientedBox};
 use vectorcraft_geom::{Affine, Point, Rect, Vec2};
 
@@ -740,7 +740,7 @@ impl Tool for SelectionTool {
                         out
                     }
                     None => {
-                        self.state = State::Marquee { start: p, cur: p, toggle: m.shift, enclosed: false };
+                        self.press_nothing(cx, p, grab, m);
                         vec![]
                     }
                 }
@@ -1191,6 +1191,17 @@ impl SelectionTool {
 }
 
 impl SelectionTool {
+    /// A press at `p` that hits no object starts a marquee, except where a clipping mask hides
+    /// the art of a selected object (picked in the Layers panel, say): there, without Shift, it
+    /// grabs the selection by that art (at `grab`), as a press on its visible part does.
+    fn press_nothing(&mut self, cx: &ToolContext, p: Point, grab: Point, m: Mods) {
+        self.state = if !m.shift && selected_hidden_at(cx.doc, p, cx.selection_hit_options(), &cx.selection.objects).is_some() {
+            State::Moving { start: grab, press: p, hold: grab, began: false, deselect: None, key: None }
+        } else {
+            State::Marquee { start: p, cur: p, toggle: m.shift, enclosed: false }
+        };
+    }
+
     fn drag_moving(&mut self, cx: &ToolContext, p: Point, m: Mods, (start, press, hold, began): (Point, Point, Point, bool)) -> Vec<Action> {
         let mut out = vec![];
         if !began {
diff --git a/crates/tools/src/select/tests.rs b/crates/tools/src/select/tests.rs
index 8ebbe9c68..177fedb0e 100644
--- a/crates/tools/src/select/tests.rs
+++ b/crates/tools/src/select/tests.rs
@@ -79,6 +79,46 @@ fn a_press_on_a_masks_edge_selects_its_clip_group() {
     assert!(!a.iter().any(|a| matches!(a, Action::Exec(c, _) if c == "select.set")), "{a:?}");
 }
 
+/// The art of a selected clipped object (picked in the Layers panel), pressed where its mask
+/// hides it, is grabbed: a drag moves the selection (the art, not its clip group) and a click
+/// keeps it selected. With nothing of it selected, or with Shift, a press there starts a marquee.
+#[test]
+fn a_press_where_a_mask_hides_a_selected_object_drags_it() {
+    let (d, _, _, art) = doc_with_masked_square();
+    let p = paint();
+    let mut picked = Selection::default();
+    picked.add(art);
+    let shift = |kind, x, y| {
+        let mut e = ev(kind, x, y);
+        e.mods.shift = true;
+        e
+    };
+    let changes_selection = |a: &[Action]| a.iter().any(|a| matches!(a, Action::Exec(c, _) if c.starts_with("select.")));
+    // (370, 450): on the art, outside the mask (400..500).
+    let mut t = SelectionTool::default();
+    let c = cx(&d, &picked, &p);
+    assert!(t.pointer(&c, &ev(PointerKind::Down, 370.0, 450.0)).is_empty());
+    let a = t.pointer(&c, &ev(PointerKind::Drag, 390.0, 470.0));
+    assert!(a.iter().any(|a| matches!(a, Action::Begin(n) if n == "Move")), "{a:?}");
+    assert!(a.iter().any(|a| matches!(a, Action::Preview(c, _) if c == "object.transform")), "{a:?}");
+    assert_eq!(t.pointer(&c, &ev(PointerKind::Up, 390.0, 470.0)), vec![Action::Commit]);
+    // A click there keeps the selection.
+    let mut t = SelectionTool::default();
+    t.pointer(&c, &ev(PointerKind::Down, 370.0, 450.0));
+    assert!(!changes_selection(&t.pointer(&c, &ev(PointerKind::Up, 370.0, 450.0))));
+    // Nothing selected: a marquee, and a click deselects.
+    let none = Selection::default();
+    let c = cx(&d, &none, &p);
+    let mut t = SelectionTool::default();
+    t.pointer(&c, &ev(PointerKind::Down, 370.0, 450.0));
+    assert!(!t.pointer(&c, &ev(PointerKind::Drag, 390.0, 470.0)).iter().any(|a| matches!(a, Action::Begin(_))));
+    // Shift: a marquee that adds to the selection.
+    let c = cx(&d, &picked, &p);
+    let mut t = SelectionTool::default();
+    t.pointer(&c, &shift(PointerKind::Down, 370.0, 450.0));
+    assert!(!t.pointer(&c, &shift(PointerKind::Drag, 390.0, 470.0)).iter().any(|a| matches!(a, Action::Begin(_))));
+}
+
 /// #955: grabbed by an anchor and dropped near another object's anchor, the anchor lands
 /// exactly on it with Smart Guides, even where lining the bounds up would leave it beside it.
 #[test]