Brawl at no cost to anyone (4-3-3)
I believe the answer is:
free-for-all
'brawl' is the definition.
(I know that brawl can be written as free-for-all)
'no cost to anyone' is the wordplay.
'no cost' becomes 'free' (I've seen this in other clues).
'to anyone' becomes 'forall' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'free'+'forall'='FREE-FOR-ALL'
'at' is the link.
Can you help me to learn more?
(Other definitions for free-for-all that I've seen before include "Disorganised event" , "Public brawl" .)