Brief note for impudent girl (4)
I believe the answer is:
chit
I believe this clue is a double definition.
'brief note' is the first definition.
(I've seen this before)
'impudent girl' is the second definition.
(I've seen this before)
'for' acts as a link.
(Other definitions for chit that I've seen before include "A short written note" , "Tab" , "Receipt; a child" , "Short note of money owed or received" , "Docket; pert girl" .)