Conflict arising for British overseas rule (3)
I believe the answer is:
raj
'british overseas rule' is the definition.
(as in the British Raj in India)
'conflict arising' is the wordplay.
'conflict' becomes 'jar' (if something jars, it conflicts or clashes).
'arising' says the letters should be written backwards.
'jar' written backwards gives 'RAJ'.
'for' acts as a link.
(Other definitions for raj that I've seen before include "Jar (anag.)" , "Jar this rule in India" , "British rule (in 19dn)" , "The period of British rule in India" , "Indian government" .)