A carriage for a tutor (5)
I believe the answer is:
coach
This clue is a double definition.
'a carriage' is the first definition.
(I know that carriage can be written as coach)
'for a tutor' is the second definition.
(synonyms)
(Other definitions for coach that I've seen before include "Teacher of sporting activity" , "Bus-like vehicle" , "Vehicle - teach(er)" , "Trainer and train carriage" , "Tutor" .)