Skimpy garment a great many have thrown right out (5)
I believe the answer is:
thong
'skimpy garment' is the definition.
(type of undergarment)
I can't explain the remainder of the clue.
(Other definitions for thong that I've seen before include "Beachwear item" , "Leather strip that forms the flexible part of a whip: excuse for underwear" , "Lash of whip" , "G-string" , "Skimpy garment" .)