Shinjuku snack: a muscadine peel with cheese (7)
I believe the answer is:
edamame
'shinjuku snack a muscadine' is the definition.
I can't judge whether this definition defines the answer.
'peel with cheese' is the wordplay.
'peel' becomes 'ame' (I can't justify this - if you can you should give a lot more credence to this answer).
'with' says to put letters next to each other.
'cheese' becomes 'edam' (Edam is an example).
'ame' put after 'edam' is 'EDAMAME'.
Can you help me to learn more?
(Another definition for edamame that I've seen is " type of bean".)