Manually-operated toy hit with tool (4,6)

I believe the answer is:

sock puppet

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'manually-operated toy' is the definition.
I know nothing about this answer so I can't tell whether this works.

'hit with tool' is the wordplay.
'hit' becomes 'sock' (socking is a kind of hitting).
'with' is a charade indicator (letters next to each other).
'tool' becomes 'puppet' (synonyms).
'sock'+'puppet'='SOCK PUPPET'

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I've seen this clue in The Guardian.

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