Crossword Genius

The cheek to offer lb1 for a piano? (3)

Ross

I believe the answer is:

lip

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'the cheek' is the definition.
(both can mean insolence or rudeness)

'lb1 for a piano?' is the wordplay.
'lbl' becomes 'li' (I can't justify this - if you can you should believe this answer much more).
'for' says to put letters next to each other.
'a piano?' becomes 'p' (musical abbreviation).
'li'+'p'='LIP'

'to offer' is the link.

Can you help me to learn more?

(Other definitions for lip that I've seen before include "Rim; impertinence" , "sauciness" , "In slang, impudent talk" , "Brink" , "Edge, rim" .)

I've seen this clue in the Evening Standard.
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