Source of chef's cooking fat causing wind (4)

I believe the answer is:

coil

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'wind' is the definition.
(coiling is a kind of winding)

'source of chef's cooking fat' is the wordplay.
'source' suggests taking the first letters (I've seen 'source of' mean this).
'cooking' indicates anagramming the letters (cook can mean to falsify or distort).
'fat' becomes 'il' (I am not sure about this - if you are sure you should believe this answer much more).
The first letters of 'of chefs' is 'oc'.
'oc' anagrammed gives 'co'.
'co'+'il'='COIL'

'causing' is the link.

Can you help me to learn more?

(Other definitions for coil that I've seen before include "Wind round and round in loops" , "Wind (ropes) - gather (hair)" , "Helix" , "Curl, spiral" , "Wind into rings or spiral" .)

I've seen this clue in The Guardian.

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