a close-fitting, one-piece garment made of knitted or stretch material and usually covering the feet, legs, trunk, and arms, worn as an exercise costume or under other clothing.
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British Dictionary definitions for body stocking
a one-piece undergarment for women, usually of nylon, covering the torso
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012