Travel round state, fighting (2,5)
I believe the answer is:
go about
'travel round' is the definition.
(to go about a place is to travel round it)
'state fighting' is the wordplay.
'state' becomes 'goa' (Indian state).
'fighting' becomes 'bout' (I can't justify this - if you can you should give a lot more credence to this answer).
'goa'+'bout'='GO ABOUT'
Can you help me to learn more?
(Other definitions for go about that I've seen before include "(Of ship) change course" , "turn at sea" , "Approach" , "Begin to deal with" .)