Feeble impudence about Frenchman (4)
I believe the answer is:
limp
'feeble' is the definition.
(I've seen this before)
'impudence about frenchman' is the wordplay.
'impudence' becomes 'lip' (lip is a kind of impudence).
'about' indicates putting letters inside.
'frenchman' becomes 'm' (abbreviation for Monsieur).
'lip' placed around 'm' is 'LIMP'.
(Other definitions for limp that I've seen before include "Slack, wilted" , "Feeble" , "Wanting stiffness" , "Hobble, being slack" , "Hanging loosely - hobble" .)