Woman crazy over a Frenchman (5)
I believe the answer is:
madam
'woman' is the definition.
(madam is a kind of woman)
'crazy over a frenchman' is the wordplay.
'crazy' becomes 'mad' ('mad' can be a synonym of 'crazy').
'over' is a charade indicator (letters next to each other).
'frenchman' becomes 'm' (abbreviation for Monsieur - like 'Mr').
'mad'+'a'+'m'='MADAM'
(Other definitions for madam that I've seen before include "Titled lady" , "Stuck-up girl" , "What you would call a female customer (or a spoiled girl!)" , "Woman of standing" , "'Call Me ---' (I. Berlin)" .)