DevTools: Remember the last focused widget.

third_party/WebKit/Source/devtools/front_end/ui/UIUtils.js

Index: third_party/WebKit/Source/devtools/front_end/ui/UIUtils.js
diff --git a/third_party/WebKit/Source/devtools/front_end/ui/UIUtils.js b/third_party/WebKit/Source/devtools/front_end/ui/UIUtils.js
index 7f1f3748b5fc8d4d38534b349f52df6ad369d243..5c9abe739e20268bed5e77f0e81d3c8dc5297491 100644
--- a/third_party/WebKit/Source/devtools/front_end/ui/UIUtils.js
+++ b/third_party/WebKit/Source/devtools/front_end/ui/UIUtils.js
@@ -813,6 +813,8 @@ WebInspector.currentFocusElement = function()
 WebInspector._focusChanged = function(event)
 {
     var node = event.deepActiveElement();
+    if (WebInspector._currentFocusElement !== node)
+        WebInspector.Widget.focusWidgetForNode(node);
     WebInspector.setCurrentFocusElement(node);
 }