Cramming lots from university into apartments (8)
I believe the answer is:
studious
'cramming lots' is the definition.
(to cram is to study a lot of information quickly)
'university into apartments' is the wordplay.
'university' becomes 'u'.
'into' means one lot of letters goes inside another.
'apartments' becomes 'studios' (studio is a kind of apartment).
'u' inserted within 'studios' is 'STUDIOUS'.
'from' is the link.
(Other definitions for studious that I've seen before include "Given to serious reading" , "Diligent; scholarly" , "Academic, diligent" , "with great care" , "Deliberate and painstaking as in reading" .)