Cancel journey after a number of deliveries (8)
I believe the answer is:
override
'cancel' is the definition.
(I know that override is a more specific form of the action counteract)
'journey after a number of deliveries' is the wordplay.
'journey' becomes 'ride' (ride is a kind of journey).
'after' is a charade indicator (letters next to each other).
'a number of deliveries' becomes 'over' (cricket term).
'ride' put after 'over' is 'OVERRIDE'.
(Other definitions for override that I've seen before include "Disregard" , "Set aside by superior authority" , "Counteract the normal operation" , "Cancel by higher authority" , "Be more important than" .)