Insult cousin's new rabbit (10)
I believe the answer is:
discussion
'rabbit' is the definition.
Although both the answer and definition are singular nouns, I can't see how they can define each other.
'insult cousin's new' is the wordplay.
'insult' becomes 'dis' (I've seen this in another clue).
'new' indicates anagramming the letters.
'cousins' is an anagram of 'cussion'.
'dis'+'cussion'='DISCUSSION'
Can you help me to learn more?
(Other definitions for discussion that I've seen before include "argument" , "when hot air's emitted?" , "Debate, conversation" .)