In league, they have unique points (5)
I believe the answer is:
draws
'in league they' is the definition.
The definition suggests a plural noun which matches the answer.
'unique points' is the wordplay.
'unique' becomes 'dra' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'points' becomes 'Ws' (two compass points).
'dra'+'ws'='DRAWS'
'have' is the link.
Can you help me to learn more?
(Other definitions for draws that I've seen before include "Raffles" , "Gets out" , "lugs" , "Sketches" , "Match results without winners" .)