Greek character’s exclamation of distaste for listeners (3)
I believe the answer is:
phi
'greek character's' is the definition.
(letter from the Greek alphabet)
'exclamation of distaste for listeners' is the wordplay.
'exclamation of distaste' becomes 'fie' ('fie' is an archaic exclamation of distaste).
'for listeners' shows a homophone (sound like).
'fie' is a homophone of 'PHI'.
(Other definitions for phi that I've seen before include "classic character" , "Greek letter; sounds like expression of disgust" , "Letter from abroad" , "Greek letter in previous answer" , "Letter from the Balkans" .)