An easy gallop. Also used as verb.
1675. If it rides but a Trot or a hand gallop, it may be twice as far off ere morning.Dryden, The Mistaken Husband, iv. 6, Works, viii. 626. (N.E.D.)
1771. I have actually seen a waggon pass through Piccadilly at the hand-gallop.Smollett, Humphry Clinker, i. 29. (N.E.D.)
1783. [The mare] paces, trots, and hand-gallops well.Advt., Maryland Journal, Jan. 24.