He’s in hose, busily polishing footwear! (9)

I believe the answer is:

shoeshine

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'polishing footwear' is the definition.
'shoeshine' can be an answer for 'polishing' (I have seen 'Polishing of footwear' mean 'shoeshine' so perhaps 'polishing' could also mean 'shoeshine'). I am not certain of the 'footwear' bit.

'he's in hose busily' is the wordplay.
'he's in hose' anagrams to 'SHOESHINE'.
However, I am unsure how the anagram is indicated.

Can you help me to learn more?

(Other definitions for shoeshine that I've seen before include "Footwear cleaning (US)" , "polish" , "Footwear polishing (US)" .)

I've seen this clue in The Times.

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