A little room to look into (5)
I believe the answer is:
study
'a little room' is the definition.
'study' can be an answer for 'room' (study is a kind of room). I am unsure of the 'a little' bit.
I cannot understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for study that I've seen before include "Scrutinize" , "(Room for) academic work" , "Analysis" , "Learn; den" , "Office at home" .)