No cigar processed without chemicals (7)

I believe the answer is:

organic

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'without chemicals' is the definition.
I can't judge whether this definition defines the answer.

'no cigar processed' is the wordplay.
'processed' is an anagram indicator.
'no'+'cigar'='nocigar'
'nocigar' with letters rearranged gives 'ORGANIC'.

Can you help me to learn more?

(Other definitions for organic that I've seen before include "Type of fertiliser" , "Fundamental" , "(Of food) produced without synthetic fertilisers or pesticides" , "Relating to living matter" , "Got from living matter" .)

I've seen this clue in The Times.

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