Put out statement in flier (9)
I believe the answer is:
crossbill
'flier' is the definition.
(crossbill is a kind of birdanimal)
'put out statement' is the wordplay.
'put out' becomes 'cross' (I've seen this before).
'statement' becomes 'bill' (bill is a kind of statement**).
'cross'+'bill'='CROSSBILL'
'in' is the link.
(Other definitions for crossbill that I've seen before include "Flier" , "Type of finch" , "Flyer" , "bird" .)