Case of unusual Dickensian family following pop singer (4,6)

I believe the answer is:

paul weller

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'singer' is the definition.
I don't know anything about this answer so I can't judge whether this works.

'case of unusual dickensian family following pop' is the wordplay.
'case of' says to hollow out the word (remove centre letters) (like emptying a case).
'dickensian family' becomes 'weller' (family in The Pickwick Papers).
'following' is a charade indicator (letters next to each other).
'pop' becomes 'pa' (both can mean father).
'unusual' with its centre taken out is 'ul'.
'ul'+'weller'='ulweller'
'ulweller' put after 'pa' is 'PAUL WELLER'.

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I've seen this clue in The Independent.

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