Tutor hurt during school session cut short (7)
I believe the answer is:
teacher
'tutor' is the definition.
(I've seen this before)
'hurt during school session cut short' is the wordplay.
'hurt' becomes 'ache' (synonyms).
'during' is an insertion indicator.
'school session' becomes 'term' (I've seen this in another clue).
'cut short' means to remove the last letter.
'term' with its final letter taken off is 'ter'.
'ache' put into 'ter' is 'TEACHER'.
(Other definitions for teacher that I've seen before include "Master" , "one of the staff" , "Coach" , "One who educates" , "Schoolmaster" .)