Bringing back rodents, a fish and a bird (8)
I believe the answer is:
starling
'a bird' is the definition.
(I know that Starling is a pigeon breed)
'bringing back rodents a fish' is the wordplay.
'bringing back' says the letters should be written backwards.
'rodents' becomes 'rats' (rat is a kind of rodent).
'a fish' becomes 'ling' (ling is a kind of fish).
'rats' written backwards gives 'star'.
'star'+'ling'='STARLING'
'and' acts as a link.
(Other definitions for starling that I've seen before include "Dark, glossy bird" , "List Gran awkwardly for the bird" , "Slant rig for the strange bird" , "Noisy bird with speckled feathers - somewhat stellar" , "flier" .)