Brief note for impudent girl (4)
I believe the answer is:
chit
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' is the 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" .)