More precise governance taken up around college (5)
I believe the answer is:
nicer
'more precise' is the definition.
('nice' can be similar in meaning to 'precise')
'governance taken up around college' is the wordplay.
'governance' becomes 'rein' (I am not sure about this - if you are sure you should believe this answer much more).
'taken up' is a reversal indicator.
'around' is an insertion indicator.
'college' becomes 'c'.
'rein' written backwards gives 'nier'.
'nier' going around 'c' is 'NICER'.
Can you help me to learn more?
(Other definitions for nicer that I've seen before include "it's more appealing" , "more lovely" , "improved" , "Pleasanter" , "More pleasant or fine" .)