Crossword Genius

Having more leeway welcoming that woman with new product that will clear the air (9)

Ross

I believe the answer is:

freshener

I'm a little stuck... Click here to teach me more about this clue!

'the air' is the definition.
Both the answer and definition are singular nouns.
Maybe they are linked in a way I don't understand?

'having more leeway welcoming that woman with new product that will clear' is the wordplay.
I cannot really see how this works, but
'woman' could be 'she' and 'she' is located in the answer.
'new' could be 'n' and 'n' is found within the answer.
'clear' could be 'free' ('free' can be a synonym of 'clear') and 'free' is located in the remaining letters.
A single letter 'r' remains which might be clued in a way I don't understand.
This may be the basis of clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for freshener that I've seen before include "Something making pleasantly clean" , "stimulant" , "deodorant?" .)

I've seen this clue in the Irish Times.
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