Cheese with some ham, egg and beans (7)

I believe the answer is:

edamame

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'ham egg and beans' is the definition.
I can't tell whether this definition defines the answer.

'cheese with some' is the wordplay.
'cheese' becomes 'edam' (Edam is an example).
'with some' becomes 'ame' (I can't explain this - if you can you should believe this answer much more).
'edam'+'ame'='EDAMAME'

Can you help me to learn more?

(Another definition for edamame that I've seen is " type of bean".)

I've seen this clue in The Daily Express.

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