Suggest, in a feeble manner, going topless (5)
I believe the answer is:
imply
'suggest' is the definition.
(implying is a kind of suggesting)
'in a feeble manner going topless' is the wordplay.
'in a feeble manner' becomes 'limply'.
'going topless' means to remove the first letter.
'limply' with its initial letter taken off is 'IMPLY'.
(Other definitions for imply that I've seen before include "Indicate indirectly" , "Intimate, suggest indirectly" , "Insinuate, hint" , "Infer" , "Hint, suggest" .)