Big fight, not initially crazy, about artist (6)
I believe the answer is:
affray
'big fight' is the definition.
(I've seen this in another clue)
'initially crazy about artist' is the wordplay.
'initially crazy' becomes 'affy' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'about' indicates putting letters inside.
'artist' becomes 'RA' (Royal Academician, member of Royal Academy of Arts).
'affy' going around 'ra' is 'AFFRAY'.
'not' is the link.
Can you help me to learn more?
(Other definitions for affray that I've seen before include "Brawling" , "public brawl" , "Noisy disturbance" , "A fight or riot in public" , "commotion" .)