Fresh posset in his car, savoury snacks in mine? (7,7)

I believe the answer is:

cornish pasties

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'savoury snacks in mine?' is the definition.
I can't judge whether this defines the answer.

'fresh posset in his car' is the wordplay.
'fresh' indicates an anagram (a fresh re-ordering of the letters).
'posset'+'in'+'his'+'car'='possetinhiscar'
'possetinhiscar' anagrammed gives 'CORNISH PASTIES'.

Can you help me to learn more?

(Other definitions for cornish pasties that I've seen before include "food items" , "regional English dishes" .)

I've seen this clue in The Independent.

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