Exploited don goes around university quietly (3,4)
I believe the answer is:
put upon
'exploited' is the definition.
('put-upon' can be a synonym of 'exploited')
'don goes around university quietly' is the wordplay.
'don' becomes 'puton' ('put on' can be a synonym of 'don').
'goes around' is an insertion indicator.
'university' becomes 'u'.
'quietly' becomes 'p' (p for piano and quiet).
'u'+'p'='up'
'puton' going around 'up' is 'PUT-UPON'.
(Other definitions for put upon that I've seen before include "Take advantage of" , "Abused" , "Place on top of - or exploit" , "Imposed on, taken advantage of" , "Taken advantage of (colloq.)" .)