Happening at university to almost everyone after a time (8)
I believe the answer is:
eventual
'after a time' is the definition.
(I've seen this before)
'happening at university to almost everyone' is the wordplay.
'happening' becomes 'event' (I've seen this before).
'at' means one lot of letters go next to another.
'university' becomes 'u'.
'to almost' means to remove the last letter (most of the word but not all of it).
'everyone' becomes 'all' (I've seen this before).
'all' with its final letter taken off is 'al'.
'event'+'u'+'al'='EVENTUAL'
(Other definitions for eventual that I've seen before include "Final, after a time" , "Coming at last, ultimate" , "Money such as bail" , "Final - happening as a consequence" , "Ultimately resulting" .)