Vote for European, say (4)
I believe the answer is:
poll
'vote' is the definition.
(polling is a kind of voting)
'european say' is the wordplay.
'european' becomes 'pole' (Pole is an example).
'say' indicates a 'sounds like' (homophone) clue.
'pole' is a homophone of 'POLL'.
'for' acts as a link.
(Other definitions for poll that I've seen before include "less ambitious students" , "one proverbially sick?" , "Survey - remove horns" , "Sort of tax" , "Votes cast at an election" .)