Open a bit of a conflict (4)
I believe the answer is:
ajar
'open a bit' is the definition.
(I've seen this in another clue)
'a conflict' is the wordplay.
'conflict' becomes 'jar' (if something jars, it conflicts or clashes).
'a'+'jar'='AJAR'
'of' acts as a link.
(Other definitions for ajar that I've seen before include "Not quite closed" , "A litle bit open" , "Unlatched" , "Half-closed" , "Raja (anag.)" .)