Crossword Genius

Supported while one lived with (6)

Ross

I believe the answer is:

stayed

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

'supported' is the definition.
(I've seen this before)

'while one lived with' is the wordplay.
I cannot quite understand how this works, but
'one' could be 'a' (a thing is one thing) and 'a' is located in the answer.
The remaining letters 'styed' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for stayed that I've seen before include "Supported" , "Remained; steadied" , "Remained; guyed" , "Didn't go" , "Remained, propped up" .)

I've seen this clue in the Evening Standard.
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