Upset at rent and continue to chat (6)
I believe the answer is:
natter
'to chat' is the definition.
('natter' can be a synonym of 'chat')
'upset at rent' is the wordplay.
'upset' is an anagram indicator.
'at'+'rent'='atrent'
'atrent' is an anagram of 'NATTER'.
'and continue' acts as a link.
This may not be right. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for natter that I've seen before include "Talk socially without exchanging too much information" , "Chew the fat, shoot the breeze" , "Casual talk" , "Chat - gossip" , "Talk continually or annoyingly" .)