Teach English University course beginning in time (7)
I believe the answer is:
educate
'teach' is the definition.
(educating is a kind of teaching)
'english university course beginning in time' is the wordplay.
'english' becomes 'e' (abbreviation).
'beginning' says to take the initial letters.
'in' is an insertion indicator.
'time' becomes 'date' (date is a kind of time**).
The first letters of 'university course' is 'uc'.
'uc' put into 'date' is 'ducate'.
'e'+'ducate'='EDUCATE'
(Other definitions for educate that I've seen before include "Tutor" , "Give instruction to" , "what teacher should do, to be effective" , "Impart learning" , "Teach - instruct" .)