Musical instrument given by fellow to perform with band (9)

I believe the answer is:

mandoline

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'musical instrument given' is the definition.
I know nothing about this answer so I cannot tell whether this works.

'fellow to perform with band' is the wordplay.
'fellow' becomes 'man' (I've seen this before).
'to perform' becomes 'do' ('do' can be a synonym of 'perform').
'with' is a charade indicator (letters next to each other).
'band' becomes 'line'.
'man'+'do'+'line'='MANDOLINE'

'by' is the link.

Can you help me to learn more?

(Other definitions for mandoline that I've seen before include "Slicing tool" , "dicing with this?" .)

I've seen this clue in The Hindu.

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