Cry about right fight (5)
I believe the answer is:
'fight' is the definition.
(brawl is a kind of fight)
'cry about right' is the wordplay.
'cry' becomes 'bawl' ('bawl' can be a synonym of 'cry'**).
'about' means one lot of letters goes inside another.
'right' becomes 'r' (common abbreviation).
'bawl' placed around 'r' is 'BRAWL'.
(Other definitions for brawl that I've seen before include "Public punch-up", "squabble", "Abounding", "Ruckus", "I'd punt for a learned person".)
I've seen this clue in Mirror.