To the instrument, sing shrilly and dance (8)

I believe the answer is:

hornpipe

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'dance' is the definition.
(I know that hornpipe is a type of folk dance)

'to the instrument sing shrilly' is the wordplay.
'to the instrument' becomes 'horn' (horn is a kind of instrument).
'sing shrilly' becomes 'pipe' (I am not sure about the 'shrilly' bit.).
'horn'+'pipe'='HORNPIPE'

'and' is the link.

Can you help me to learn more?

(Other definitions for hornpipe that I've seen before include "Lively jig" , "Lively solo dance associated with sailors" , "Obsolete instrument: naval dance" , "Lively old sailors' dance" , "piece of music for an > old dance" .)

I've seen this clue in the Evening Standard.

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