Crossword Genius

With rise of temperature, promote footwear (5)

Ross

I believe the answer is:

boots

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

'with rise of temperature promote' is the wordplay.
I cannot quite understand how this works, but
'of' could be 'o' and 'o' is found in the answer.
'temperature' could be 't' (abbreviation) and 't' is located in the answer.
The remaining letters 'bos' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

(Other definitions for boots that I've seen before include "Footwear" , "Kicks" , "shoe cleaner" .)

I've seen this clue in The Times.
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