Journey made by newly-wed heading off? (4)
I believe the answer is:
ride
'journey' is the definition.
(ride is a kind of journey)
'newly-wed heading off?' is the wordplay.
'newly wed' becomes 'bride' (I've seen this in other clues).
'heading off?' means to remove the first letter.
'bride' with its initial letter taken off is 'RIDE'.
'made by' is the link.
(Other definitions for ride that I've seen before include "Eg, roundabout or roller-coaster, path for horses" , "badger" , "Journey on horseback" , "Fairground entertainment" , "Go by horse" .)