Smoker and singer - too weird (7)

I believe the answer is:

cheroot

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'smoker' is the definition.
The definition and answer can be both man-made objects as well as being singular nouns.
Maybe they are linked in a way I don't understand?

'singer too weird' is the wordplay.
'singer' becomes 'cher' (Cher is a US musician).
'weird' indicates an anagram.
'too' anagrammed gives 'oot'.
'cher'+'oot'='CHEROOT'

'and' acts as a link.

Can you help me to learn more?

(Other definitions for cheroot that I've seen before include "Type of cigar" , "Havana?" , "smoke" , "Square-cut cigar" , "One smoked" .)

I've seen this clue in The Daily Express.

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