Actor Paul, who played a little role, getting the red-eye (4)
I believe the answer is:
rudd
'actor paul who played' is the definition.
'rudd' can be an answer for 'actor paul' (I've seen this in another clue). I am not certain of the rest of the definition.
'a little role getting the red-eye' is the wordplay.
'a little role' becomes 'rud' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'getting' is a charade indicator (letters next to each other).
'the red' becomes 'medoc' (type of red wine).
'eye' indicates the central letters (eye can mean the centre of something).
The central letter of 'medoc' is 'd'.
'rud'+'d'='RUDD'
Can you help me to learn more?
(Other definitions for rudd that I've seen before include "Red-eye fish" , "Freshwater fish of the carp family" , "Freshwater fish (silvery with red fins)" , "Swimmer" , "European freshwater fish" .)