Grab handle lets you grab a handle without clicking. It finds the handle that's closest to the cursor and fires the grab operator. It's faster and often more precise than trying to click on the handles (depending on the zoom level you can miss the handle).
We should add the option to select cuts (handles on both sides of a cut) as well. The built-in option, Alt Shift Mouse Select, always adds to the selection, and you still have to press G to slide the cut so that's up to 3 keystrokes: A to deselect, Shift Alt R-Click to select the cut, and G to slide the cut.
Shift G
Add smart support: if no selection, select closest strip and closest handle to the cursor
If close to a cut, select the handles on either side of the cut. Detection range should be zoom dependent.