Wrap is sexy, shortened at both ends (4)

I believe the answer is:

roti

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'wrap' is the definition.
Both the definition and answer are singular nouns.
Perhaps there's a link between them I don't understand?

I can't explain the rest of the clue.

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(Other definitions for roti that I've seen before include "Indian bread (not naan)" , "Indian flatbread" , "Indian flat round bread" , "spicy sandwich" , "Indian bread cooked on a griddle" .)

I've seen this clue in The Times.

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