A carriage for a tutor (5)
I believe the answer is:
coach
I believe this is a double definition.
'a carriage' is the first definition.
(coach is a kind of carriage)
'tutor' is the second definition.
(synonyms)
'for a' is the link.
(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" .)