Vehicle producing a disturbance after church (7)
I believe the answer is:
chariot
'vehicle' is the definition.
(chariot is a kind of vehicle)
'a disturbance after church' is the wordplay.
'disturbance' becomes 'riot' (I've seen this before).
'after' means one lot of letters go next to another.
'church' becomes 'ch' (common abbreviation).
'a'+'riot'='ariot'
'ariot' after 'ch' is 'CHARIOT'.
'producing' is the link.
(Other definitions for chariot that I've seen before include "Two-wheeled carriage of ancient times, as used by Ben Hur" , "Two-wheeled horse-drawn vehicle used in battle" , "American religious folksong 'Swing low, sweet ...'" , "coach" , "Ben Hur transport?" .)