Steal the limelight from the coach to London (7)
I believe the answer is:
upstage
I believe this clue is a double definition.
'steal the limelight' is the first definition.
'the coach to london' is the second definition.
(stagecoach in direction of major city or capital)
'from' is the link.
(Other definitions for upstage that I've seen before include "aloof" , "Pugs eat (anag.)" , "Divert attention from another as actor might in play" , "Direct attention away from someone on to oneself" , "Outshine" .)