Might a children's entertainer have had a hand in this? (5,6)

I believe the answer is:

glove puppet

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'might a children's entertainer have had a hand in this?' is the definition.
The definition suggests a singular noun which matches the answer.

'hand in this?' is the wordplay.
'hand' becomes 'glove'.
'in this?' becomes 'puppet' (I can't explain this - if you can you should give a lot more credence to this answer).
'glove'+'puppet'='GLOVE PUPPET'

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(Other definitions for glove puppet that I've seen before include "On-hand children's entertainer?" , "Cloth model, digitally operated" , "Doll-like figure worn on hand" , "Eg, Sooty" .)

I've seen this clue in The Times.

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