Bird of prey biting head off chicken (3)
I believe the answer is:
owl
'bird of prey' is the definition.
(I know that owl is a type of bird of prey)
'biting head off chicken' is the wordplay.
'biting head off' means to remove the first letter.
'chicken' becomes 'fowl' (chicken is a type of fowl).
'fowl' with its first letter removed is 'OWL'.
(Other definitions for owl that I've seen before include "Harry Potter's Hedwig, for instance" , "Bird of prey with front-facing eyes" , "paragon of wisdom?" , "Bird of the 18" , "Predator" .)