late 14c., "young of the coney," from French dialect (cf. Walloon robète), diminutive of Flemish or Middle Dutch robbe "rabbit," of unknown origin. "A Germanic noun with a French suffix" [Liberman]. The adult was a coney (q.v.) until 18c.
Rabbit punch "chop on the back of the neck" so called from resemblance to a gamekeeper's method of dispatching an injured rabbit. Pulling rabbits from a hat as a conjurer's trick recorded by 1843. Rabbit's foot "good luck charm" first attested 1879, in U.S. Southern black culture. Earlier references are to its use as a tool to apply cosmetic powders.
Rabbit ears "dipole television antenna" is from 1950. Grose's 1788 "Dictionary of the Vulgar Tongue" has "RABBIT CATCHER. A midwife."