The hand that holds the whip in riding or driving—that is, the right hand.(noun)
An advantage, or advantageous position.(noun)
The Century Dictionary (Public Domain)
Use "whip-hand" in a sentence
"Beyond this, what Mr. Santorum's astonishing whip-hand run to a photo finish from the rear of the pack means is hard to know exactly, but the increasingly smug Romney campaign ought to give it thought."
"Besides, the ranch included the clay-pit, and it would give him the whip-hand over Holdsworthy if he ever tried to cut up any didoes."
"I agree with MY that the “watchful eye and whip-hand” was the only way I ever got through Kant and Aristotle (in English)."