Imply that a gusset can be torn out with light heart! (7)

I believe the answer is:

suggest

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'imply' is the definition.
(suggesting is a kind of implying)

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

(Other definitions for suggest that I've seen before include "Island off Java" , "Intimate" , "Insinuate" , "Put forward (an idea)" , "Offer for consideration" .)

I've seen this clue in the Evening Standard.

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