Admit criminal now at university (3,2)
I believe the answer is:
own up
'admit' is the definition.
(I know that own up is a more specific form of the action concede)
'criminal now at university' is the wordplay.
'criminal' is an anagram indicator.
'at university' becomes 'up' ('up' can mean studying at university).
'now' with letters rearranged gives 'own'.
'own'+'up'='OWN UP'
(Other definitions for own up that I've seen before include "Confess, admit guilt (3.2)" , "Come clean (about wrongdoing)" , "Admit to wrongdoing" , "Accept responsibility" , "be honest" .)