Comes up or possibly raises (6)
I believe the answer is:
arises
'comes up' is the definition.
('arise' can be a synonym of 'come up')
'possibly raises' is the wordplay.
'possibly' is an anagram indicator.
'raises' is an anagram of 'ARISES'.
'or' acts as a link.
(Other definitions for arises that I've seen before include "Comes to notice, like committee business" , "Gets up or comes up" , "Gets out of bed" .)