Conveyance for the tutor (5)
I believe the answer is:
coach
I believe this clue is a double definition.
'conveyance' is the first definition.
(I know that Coach is a type of airliner)
'the tutor' is the second definition.
('coach' can be a synonym of 'tutor')
'for' is the link.
(Other definitions for coach that I've seen before include "Trainer and bus" , "Bus-like vehicle" , "Teacher of sporting activity" , "Vehicle - teach(er)" , "Train - or part of one!" .)