Competes for six points (4)
I believe the answer is:
vies
'competes' is the definition.
('vie' can be a synonym of 'compete')
'six points' is the wordplay.
'six' becomes 'vi' (roman numeral).
'points' becomes 'es' (E is an example**).
'vi'+'es'='VIES'
'for' acts as a link.
(Other definitions for vies that I've seen before include "Struggles" , "Competes, carries on rivalry" , "Contends" , "Strives with, rivals" .)