Dairy product from base in Irish province (8)

I believe the answer is:

muenster

'dairy product' is the definition.
(Muenster is an example)

'base in irish province' is the wordplay.
'base' becomes 'e' (I've seen this in other clues).
'in' indicates putting letters inside.
'irish province' becomes 'munster' (I've seen this before).
'e' going into 'munster' is 'MUENSTER'.

'from' is the link.

I've seen this clue in The Telegraph.

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