Argument over extremely disorderly hooligan (5)
I believe the answer is:
rowdy
'hooligan' is the definition.
('rowdy' can be a synonym of 'hooligan')
'argument over extremely disorderly' is the wordplay.
'argument' becomes 'row' (I've seen this before).
'over' means one lot of letters go next to another.
'extremely' suggests removing the centre.
'disorderly' with its centre removed is 'dy'.
'row'+'dy'='ROWDY'
(Other definitions for rowdy that I've seen before include "Boisterous" , "Loud and disorderly" , "yob" , "Noisy and disorderly" , "Raucous" .)