Pursuit of raptor (5)
I believe the answer is:
hobby
I believe this is a double definition.
'pursuit' is the first definition.
(I have seen 'Favourite pursuit ' mean 'hobby' so perhaps 'pursuit' could also mean 'hobby')
'raptor' is the second definition.
(hobby is a kind of raptor)
'of' acts as a link.
(Other definitions for hobby that I've seen before include "Favourite pursuit" , "activity giving pleasure" , "Favourite pastime" , "Bird of prey - pastime" , "Small falcon" .)