Fights for leftovers (6)
I believe the answer is:
scraps
I believe this clue is a double definition.
'fights' is the first definition.
(I've seen this before)
'leftovers' is the second definition.
(I've seen this before)
'for' is the link.
(Other definitions for scraps that I've seen before include "Fragments for fights" , "Discarded pieces of food" , "43 [WASTE]" , "Quarrels" , "Bits and pieces, or slang fights" .)