Talk with jazz fan about film director (4-4)

I believe the answer is:

chit-chat

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'talk' is the definition.
(I have seen 'Inconsequential talk' mean 'chit-chat' so perhaps 'talk' could also mean 'chit-chat')

'jazz fan about film director' is the wordplay.
'jazz fan' becomes 'cat' (slang term for a jazz fan).
'about' means one lot of letters goes inside another.
'film director' becomes 'hitch' (I can't explain this - if you can you should give a lot more credence to this answer).
'cat' enclosing 'hitch' is 'CHIT-CHAT'.

'with' is the link.

Can you help me to learn more?

(Other definitions for chit-chat that I've seen before include "Inconsequential talk" , "Idle nattering" .)

I've seen this clue in The Times.

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