Number lit in cool style (9)
I believe the answer is:
octillion
'number' is the definition.
(I have seen 'Large number' mean 'octillion' so perhaps 'number' could also mean 'octillion')
'lit in cool style' is the wordplay.
'style' indicates anagramming the letters (style can mean to shape or design).
'lit'+'in'+'cool'='litincool'
'litincool' anagrammed gives 'OCTILLION'.
(Another definition for octillion that I've seen is " Large number".)
I've seen this clue in The Mirror.
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