Be endlessly pleased, cooking cheese (3,5)
I believe the answer is:
bel paese
'cheese' is the definition.
(I've seen this before)
'be endlessly pleased cooking' is the wordplay.
'endlessly' means to remove the last letter.
'cooking' indicates an anagram.
'pleased' with its final letter taken off is 'please'.
'please' with letters rearranged gives 'lpaese'.
'be'+'lpaese'='BEL PAESE'
(Other definitions for bel paese that I've seen before include "Creamy Italian cheese" , "Cheese from the beautiful country" , "Mild semi-soft Italian cheese" , "Be asleep (anag) - Italian cheese" .)