Crossword Genius

Worn out, walk round hospital with nothing on (10)

Ross

I believe the answer is:

threadbare

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

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

'walk round hospital with nothing on' is the wordplay.
I cannot quite understand how this works, but
'hospital' could be 'h' (abbreviation for hospital) and 'h' is located in the answer.
'walk' could be 'tread' (treading is a kind of walking) and 'tread' is found within the leftover letters.
'on' could be 're' ('on' can be mean 'with reference to') and 're' is found in the answer.
The remaining letters 'ba' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for threadbare that I've seen before include "Tired" , "deprived of nap" , "cliche-ridden" , "Ragged" , "the worse for wear" .)

I've seen this clue in The Times.
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