Tool providing musical touch (4,3)

I believe the answer is:

cat's-paw

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'tool' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.

'musical touch' is the wordplay.
'musical' becomes 'Cats' (Andrew Lloyd Webber musical).
'touch' becomes 'paw' (paw can mean to touch or grope).
'cats'+'paw'='CATS-PAW'

'providing' acts as a link.

Can you help me to learn more?

(Another definition for cat's-paw that I've seen is " One used by another".)

I've seen this clue in The Telegraph.

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