Manage during disagreement (3-2)
I believe the answer is:
run in
'disagreement' is the definition.
(I know that run-in is a type of conflict)
'manage during' is the wordplay.
'manage' becomes 'run' (both can mean to organise).
'during' becomes 'in' (e.g. during February means in February).
'run'+'in'='RUN-IN'
(Other definitions for run in that I've seen before include "Disagreement (with authority?)" , "Altercation" , "Quarrel; arrest" , "Argument -- arrest (3-2;3,2)" , "Brush" .)