run, gallop, advance
駈 centers on swift forward motion, especially of a horse: running, galloping, or advancing rapidly.
駈 combines 馬 (horse) with 丘, which likely contributes the sound ク. The character expresses a horse running or galloping.
A horse 馬 beside a hill 丘: picture a horse galloping up and over the hill, advancing swiftly.
For ク, imagine a horse galloping so fast it kicks up a cool breeze: cool -> ク, and the horse runs on.
canter (horse gait)