Attraction outside church -- Rex the dog (7)
I believe the answer is:
lurcher
'the dog' is the definition.
(I've seen this before)
'attraction outside church rex' is the wordplay.
'attraction' becomes 'lure' (lure is a kind of attraction).
'outside' indicates putting letters inside.
'church' becomes 'ch' (common abbreviation).
'rex' becomes 'r' (common abbreviation e.g. GR=George Rex, King Georg).
'lure' placed around 'ch' is 'lurche'.
'lurche'+'r'='LURCHER'
(Other definitions for lurcher that I've seen before include "one unsteady on his feet" , "a hunting animal" , "walking is awkward for such a person" , "Greyhound-collie cross" , "Crossbred dog similar to a greyhound" .)