"thrash, strike repeatedly," c. 1900 (v.), from beat (v.) + up (adv.). Earlier it meant "summon (recruits, etc.) by the beating of a drum" (1690s). Beat-up as an adjectival phrase meaning "worn-out" dates to 1946.
bearskin
beast
beastly
beat
beat off
beat up
beatable
beatdown
beaten
beater
beatific