He might be important if following his points (4)
I believe the answer is:
nibs
I believe this is a double definition.
'he might be important if following his' is the first definition.
('his nibs' means a self-important person)
'points' is the second definition.
(I know this)
(Other definitions for nibs that I've seen before include "Writing tips of old pens" , "Pen ends" , "Pen points" , "crushed cocoa beans" , "Writing points" .)