Little piggy imbibing wine and snack food (7)

I believe the answer is:

toastie

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

'snack food' is the definition.
'toastie' can be an answer for 'snack' (a toasted snack). I'm not sure about the 'food' bit.

'little piggy imbibing wine' is the wordplay.
'little piggy' becomes 'toe' ('this little piggy went to market' nursery rhyme).
'imbibing' is an insertion indicator (drinking in).
'wine' becomes 'asti' (Italian wine).
'toe' enclosing 'asti' is 'TOASTIE'.

'and' is the link.

Can you help me to learn more?

(Other definitions for toastie that I've seen before include "Type of sandwich" , "this food's hot" , "Warm snack" , "Hot snack (informal)" , "Browned sandwich" .)

I've seen this clue in The Times.

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