Vehicle taken right across Manchester, initially (4)
I believe the answer is:
tram
'vehicle' is the definition.
(tram is a kind of vehicle)
'taken right across manchester initially' is the wordplay.
'initially' suggests taking the first letters.
The first letters of 'taken right across manchester' is 'TRAM'.
(Other definitions for tram that I've seen before include "Rail vehicle" , "multi-faceted yarn" , "It runs on rails" , "Urban transport" , "Electric vehicle" .)