My career churning in butter factory (8)

I believe the answer is:

creamery

I'm a little stuck... Click here to teach me more about this clue!

'butter factory' is the definition.
'creamery' can be an answer for 'factory' (thesaurus). I'm not sure about the 'butter' bit.

'my career churning' is the wordplay.
'churning' indicates an anagram.
'my'+'career'='mycareer'
'mycareer' is an anagram of 'CREAMERY'.

'in' acts as a link.

Can you help me to learn more?

(Other definitions for creamery that I've seen before include "dairy business" , "Where dairy products are produced" , "Where dairy products are made" .)

I've seen this clue in The Times.

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