Clear up and give correct points to club, finally (8)
I believe the answer is:
brighten
'clear up' is the definition.
('brighten' can be a synonym of 'clear up')
'give correct points to club finally' is the wordplay.
'give' means one lot of letters go next to another.
'correct' becomes 'right' ('right' can be a synonym of 'correct'**).
'points' becomes 'en'.
'to' says to put letters next to each other (I've seen this in other clues).
'finally' indicates one should take the final letters.
The final letter of 'club' is 'b'.
'right' next to 'en' is 'righten'.
'righten' after 'b' is 'BRIGHTEN'.
'and' acts as a link.
(Other definitions for brighten that I've seen before include "Polish" , "Cheer up; clear up" , "Provide illuminations" , "Liven up" , "Illuminate, cheer up" .)