Little room for academic activity (5)
I believe the answer is:
study
This clue could be a double definition.
'little room' is the first definition.
'study' can be an answer for 'room' (study is a kind of room). I am unsure of the 'little' bit.
'academic activity' is the second definition.
'study' can be an answer for 'activity' (study is a kind of activity). I'm not sure about the 'academic' bit.
'for' acts as a link.
Can you help me to learn more?
(Other definitions for study that I've seen before include "See 11" , "Contemplate" , "(Room for) academic work" , "Read to learn" , "Den; closely look at" .)