Deeply distressed, snubbed at university (3,2)
I believe the answer is:
cut up
'deeply distressed' is the definition.
(someone cut up by something is distressed by it)
'snubbed at university' is the wordplay.
'snubbed' becomes 'cut' (to snub something can be to cut its end off).
'at university' becomes 'up' (slang term meaning at university).
'cut'+'up'='CUT-UP'
(Other definitions for cut up that I've seen before include "affected by separation" , "Destroy with scissors" , "Happy? No" , "Badly hurt" , "Maize, rye, corn, etc" .)