At university good person getting mature and superior (7)
I believe the answer is:
upstage
'superior' is the definition.
(thesaurus)
'at university good person getting mature' is the wordplay.
'at university' becomes 'up'.
'good person' becomes 'st' (saint).
'getting' says to put letters next to each other.
'mature' becomes 'age' (synonyms).
'up'+'st'+'age'='UPSTAGE'
'and' is the link.
(Other definitions for upstage that I've seen before include "Divert attention from someone towards yourself" , "dwarf?" , "Be haughty towards" , "Pugs eat (anag.)" , "Take attention from (another actor)" .)