Woman gets the point and quits (4)
I believe the answer is:
even
'quits' is the definition.
(as in 'call it quits')
'woman gets the point' is the wordplay.
'woman' becomes 'eve' (Eve is an example).
'gets' is a charade indicator (letters next to each other).
'the point' becomes 'N' (North).
'eve'+'n'='EVEN'
'and' acts as a link.
(Other definitions for even that I've seen before include "Flat - yet" , "Equable" , "Like half the numbers" , "That's not odd" , "night" .)