Crossword Genius

Destitute person's way of escape from top floor? (4-3-3)

Ross

I believe the answer is:

down-and-out

'destitute person's' is the definition.
(informal term for a homeless person)

I don't understand the rest of the clue.

(Other definitions for down-and-out that I've seen before include "Impoverished - destitute person" , "Impoverished (and unconscious?)" .)

I've seen this clue in The Guardian.
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