At university, accept one may be quick on this (6)
I believe the answer is:
uptake
'one may be quick on this' is the definition.
(reference to the phrase 'quick on the uptake')
'at university accept' is the wordplay.
'at university' becomes 'up'.
'accept' becomes 'take' (taking is a kind of accepting**).
'up'+'take'='UPTAKE'
(Other definitions for uptake that I've seen before include "Acceptance of offer" , "Ability to understand what is meant - some are slow on it" , "Put off until later" , "Level of acceptance" , "Grasp one can be quick on" .)