Fighting and giving a cry of pain in the arena (6)

I believe the answer is:
rowing
'fighting' is the definition.
(to row is to argue)
'cry of pain in the arena' is the wordplay.
'cry of pain' becomes 'ow' (exclamation of pain).
'in the' means one lot of letters goes inside another.
'arena' becomes 'ring' (eg a boxing ring).
'ow' placed into 'ring' is 'ROWING'.
'and giving a' acts as a link.
This may not be correct. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for rowing that I've seen before include "in dispute" , "Steven Redgrave's sport" , "Olympic event" , "Using oars" , "Sport associated with Henley" .)
