Favourite fancy tissues protect current dessert (5,6)

I believe the answer is:

petit suisse

'dessert' is the definition.

'favourite fancy tissues protect current' is the wordplay.
'favourite' becomes 'pet' ('pet' can be a synonym of 'favourite').
'fancy' indicates anagramming the letters.
'protect' means one lot of letters goes inside another.
'current' becomes 'i' (symbol for electric current).
'tissues' anagrammed gives 'tsuisse'.
'pet'+'tsuisse'='pettsuisse'
'pettsuisse' enclosing 'i' is 'PETIT SUISSE'.

I've seen this clue in The Independent.

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