Personal, cheese-coated chocolate cake (7)
I believe the answer is:
brownie
'chocolate cake' is the definition.
(type of chocolate cake)
'personal cheese-coated' is the wordplay.
I cannot quite see how this works, but
'personal' could be 'own' (eg one's own possessions are personal possessions) and 'own' is found within the answer.
'cheese' could be 'brie' (Brie is an example) and 'brie' is present in the leftover letters.
No letters remain.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for brownie that I've seen before include "Girl cub - chocolate cake" , "nutty cake" , "confection" , "Junior member of girl's movement ..." , "Piece of chocolate cake" .)