Student in institute excelled (5)
I believe the answer is:
tutee
'student' is the definition.
(someone being tutored)
'in institute excelled' is the wordplay.
'in' indicates the answer is hidden within the clue.
'TUTEE' can be found hidden inside 'institute excelled'.
(Other definitions for tutee that I've seen before include "Student, pupil" , "One learns from a personal teacher" .)