Has nothing but three points (4)
I believe the answer is:
owns
'has' is the definition.
('own' can be a synonym of 'have')
'nothing but three points' is the wordplay.
'nothing but' becomes 'o' (I am not sure about this - if you are sure you should believe this answer much more).
'three points' becomes 'WNS'.
'o'+'wns'='OWNS'
Can you help me to learn more?
(Other definitions for owns that I've seen before include "Belongs to" , "Admits possession" , "Confesses" , "uses" , "Has possession of by right" .)