Crossword Genius

Win all to wash a chimney-climber (4,1,5,5)

Ross

I believe the answer is:

make a clean sweep

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

'chimney-climber' is the definition.
I know nothing about this answer so I can't tell whether this works.

'win all to wash a' is the wordplay.
I cannot really see how this works, but
'win' could be 'sweep' (sweeping is a kind of winning) and 'sweep' is present in the answer.
'wash' could be 'clean' (I've seen this before) and 'clean' is located in the answer.
'a' is within the answer.
This explanation may well be incorrect...

Can you help me to learn more?

I've seen this clue in the Sydney Morning Herald.
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