Good university dons get to continue without taking a break (5)
I believe the answer is:
segue
'continue without taking a break' is the definition.
'good university dons get' is the wordplay.
'good' becomes 'g' (abbreviation).
'university' becomes 'u'.
'dons' means one lot of letters goes inside another (don means to wear or put on).
'get' becomes 'see' (I've seen this in other clues**).
'g'+'u'='gu'
'gu' going within 'see' is 'SEGUE'.
'to' is the link.
(Other definitions for segue that I've seen before include "Move smoothly from one musical piece to another" , "Follow on without a pause" , "Change smoothly from one thing to another" , "In music, an immediate transition from one part to another" , "Follow smoothly on" .)