Fish caught by female bird (7)
I believe the answer is:
sparrow
'bird' is the definition.
(I know that sparrow is a bird)
'fish caught by female' is the wordplay.
'fish' becomes 'parr' (I've seen this before).
'caught by' is an insertion indicator.
'female' becomes 'sow' (female pig).
'parr' inserted within 'sow' is 'SPARROW'.
(Other definitions for sparrow that I've seen before include "Small brown bird" , "bird produced" , "Cock Robin's killer" , "Singing bird" , "fowl, using outdated term" .)