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Longman Dictionary of Contemporary English
body stocking
noun
EXAMPLES FROM CORPUS
▪ Had everyone fooled for a time, but she was wearing a body stocking.
▪ If he had been wearing a red and blue body stocking Rachel would have thought it was Spiderman.
▪ It would not be true nudity, he assured her; she would wear a body stocking.
▪ Today they were busy removing the bandage body stocking that had been used to help the wing to heal.
Wiktionary
body stocking

n. (alternative form of bodystocking English)

WordNet
body stocking

n. a one-piece tight-fitting undergarment for women that covers the torso (and may have sleeves and legs)