What gluttons do -- covet treats with the wrappings taken off (7)

I believe the answer is:

overeat

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'what gluttons do' is the definition.
(I know that gluttons often overindulge)

I don't understand how the remainder of the clue works.

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(Other definitions for overeat that I've seen before include "Be gluttonous" , "Gobble to excess" , "Be greedy" , "Stuff oneself silly" , "Consume too much food, stuff your stomach" .)

I've seen this clue in The Telegraph.

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