Scruffy child, kid with a cake (10)

I believe the answer is:

ragamuffin

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'scruffy child' is the definition.

'kid with a cake' is the wordplay.
'kid with' becomes 'rag' (I've seen this in other clues. I am not sure about the 'with' bit.).
'cake' becomes 'muffin' (I've seen this before).
'rag'+'a'+'muffin'='RAGAMUFFIN'

Can you help me to learn more?

(Other definitions for ragamuffin that I've seen before include "One got up badly" , "untidy child" , "Scruffy urchin" , "Poor mite" , "Guttersnipe" .)

I've seen this clue in The Telegraph.

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