Church chasing film vampire and bloodsucker (5)
I believe the answer is:
leech
'bloodsucker' is the definition.
('leech' can be a synonym of 'bloodsucker')
'church chasing film vampire' is the wordplay.
'church' becomes 'ch' (common abbreviation).
'chasing' says to put letters next to each other.
'film vampire' becomes 'lee' (Christopher Lee).
'ch' after 'lee' is 'LEECH'.
'and' acts as a link.
(Other definitions for leech that I've seen before include "Medicinal bloodsucker" , "scrounger" , "Bloodsucking annelid" , "Sucking parasite" , "Old doctor" .)