For dessert, in part cut, get a plate out (5,4)
I believe the answer is:
apple tart
'for dessert' is the definition.
(I've seen this before)
'part cut get a plate out' is the wordplay.
'cut' indicates anagramming the letters.
'get' is an insertion indicator.
'out' indicates anagramming the letters (out can mean wrong or inaccurate).
'part' is an anagram of 'aprt'.
'plate' anagrammed gives 'pleta'.
'aprt' enclosing 'pleta' is 'APPLE-TART'.
'in' is the link.
(Other definitions for apple tart that I've seen before include "Pastry" , "Dessert" , "Sweet" .)