Treachery cost criminal, getting bird (13)
I believe the answer is:
oystercatcher
'bird' is the definition.
(oystercatcher is a kind of bird)
'treachery cost criminal' is the wordplay.
'criminal' indicates an anagram.
'treachery'+'cost'='treacherycost'
'treacherycost' anagrammed gives 'OYSTERCATCHER'.
'getting' acts as a link.
(Other definitions for oystercatcher that I've seen before include "flier with large bill" , "Black and white wading bird" , "Shore bird" , "Black-and-white wader" , "Black and white wader" .)