Crossword Genius

Get decent air for a change after disposing of this? (9,3)

Ross

I believe the answer is:

cigarette end

'disposing of this?' is the definition.
The definition suggests a singular noun which matches the answer.

'get decent air for a change' is the wordplay.
'for a change' indicates an anagram.
'get'+'decent'+'air'='getdecentair'
'getdecentair' anagrammed gives 'CIGARETTE END'.

'after' is the link.

(Another definition for cigarette end that I've seen is " Butt".)

I've seen this clue in The Times.
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