1560s, oddly spelled plural of body, originally the name of a tight-fitting Elizabethan inner stays or corset, laced in front, covering the torso, worn by women and sometimes men; plural because the body came in two parts which fastened in the middle. For the spelling, compare deuce. In modern use, an outer laced garment covering the waist and bust worn by women, often as an ornament.
Bodice-ripper for "racy romance novel" is from 1981. Related: Bodiced.