We're rivals fighting for trophies (10)
I believe the answer is:
silverware
'trophies' is the definition.
(I've seen this before)
'we're rivals fighting' is the wordplay.
'fighting' indicates an anagram (I've seen this in other clues).
'were'+'rivals'='wererivals'
'wererivals' with letters rearranged gives 'SILVERWARE'.
'for' acts as a link.
(Other definitions for silverware that I've seen before include "trophies" , "treasure?" , "Items of precious metal" .)