Inconveniencing by extinguishing (7,3)

I believe the answer is:

putting out

I believe this is a double definition.

'inconveniencing' is the first definition.
('put out' can be a synonym of 'inconvenience')

'extinguishing' is the second definition.
(putting out is a kind of extinguishing)

'by' acts as a link.

I've seen this clue in the Evening Standard.

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