Quartet sees they're using disparaging form of address (4-4)
I believe the answer is:
four-eyes
'using disparaging form of address' is the definition.
I can't judge whether this defines the answer.
'quartet sees' is the wordplay.
'quartet' becomes 'four' (synonyms).
'sees' becomes 'eyes' (I can't justify this - if you can you should believe this answer much more).
'four'+'eyes'='FOUR-EYES'
'they're' is the link.
Can you help me to learn more?
(Other definitions for four-eyes that I've seen before include "Rude term for a specs wearer" , "Derogatory word for one wearing spectacles" .)