Final word in notice that is at front of university (5)
I believe the answer is:
adieu
'final word' is the definition.
(adieu can mean goodbye)
'notice that is at front of university' is the wordplay.
'notice' becomes 'ad'.
'that is' becomes 'ie' ('i.e.' can be a synonym of 'that is').
'at front of' says to put letters next to each other.
'university' becomes 'u'.
'ad'+'ie'+'u'='ADIEU'
'in' acts as a link.
(Other definitions for adieu that I've seen before include "A valediction" , "Farewell, Monsieur!" , "So long abroad" , "Parting greeting" , "Gallic goodbye" .)