Put back after transport dispute (4,2)
I believe the answer is:
bust up
'dispute' is the definition.
(bust-up is a kind of dispute)
'put back after transport' is the wordplay.
'back' says the letters should be written backwards.
'after' says to put letters next to each other.
'transport' becomes 'bus' (busing is a kind of transporting).
'put' written backwards gives 'tup'.
'tup' after 'bus' is 'BUST-UP'.
(Other definitions for bust up that I've seen before include "quarrel!" , "disturbance" , "fight" , "Bra-destroying feminist presumably wouldn't have this" .)