A point always cut (5)
I believe the answer is:
sever
'cut' is the definition.
(severing is a kind of cutting)
'a point always' is the wordplay.
'a point' becomes 's' (S is an example**).
'always' becomes 'ever' ('ever' can be a synonym of 'always').
's'+'ever'='SEVER'
(Other definitions for sever that I've seen before include "Cut completely" , "split" , "Cut right off" , "Disconnect" , "Divide, cut" .)