After a fight, go for a change of direction (5-4)
I believe the answer is:
about-turn
'a change of direction' is the definition.
(about turn is a kind of change of direction)
'after a fight go' is the wordplay.
'after' means one lot of letters go next to another.
'fight' becomes 'bout' (as in a bout in boxing).
'go' becomes 'turn' (turning is a kind of going).
'a'+'bout' is 'about'.
'about'+'turn'='ABOUT-TURN'
'for' is the link.
(Other definitions for about-turn that I've seen before include "Act of pivoting 180 degrees" , "Total change of direction" , "Change of opinion" .)