Finish university, about to go through (6)
I believe the answer is:
endure
'go through' is the definition.
(enduring is a kind of going through)
'finish university about' is the wordplay.
'finish' becomes 'end' ('end' can be a synonym of 'finish'**).
'university about' becomes 'ure' (I've seen this in other clues).
'end'+'ure'='ENDURE'
'to' is the link.
(Other definitions for endure that I've seen before include "Go through" , "Put up with, say hardship" , "Put up with something" , "survive" , "Undergo a tough time" .)