Painted the town red on becoming famous? (10)

I believe the answer is:

celebrated

I'm a little stuck... Click here to teach me more about this clue!

'famous?' is the definition.
(I know that famous can be written as celebrated)

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for celebrated that I've seen before include "Notable" , "Publicly honoured" , "Did something enjoyable (to mark an event)" , "Rejoiced - famous" , "Cheered" .)

I've seen this clue in the Evening Standard.

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