Crossword Genius

Booty I see lying back in bath (3,3)

Ross

I believe the answer is:

hot tub

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'bath' is the definition.
(type of bath)

'booty i see lying back' is the wordplay.
'booty' becomes 'butt' (I can't explain this - if you can you should give a lot more credence to this answer).
'i see' becomes 'oh' (both can mean 'I understand').
'lying back' shows that the letters should be reversed in order.
'butt'+'oh'='buttoh'
'buttoh' backwards is 'HOT TUB'.

'in' is the link.

Can you help me to learn more?

(Other definitions for hot tub that I've seen before include "critical comment" , "Outdoor bath" , "Spa feature" , "Very warm bath" , "bathing facility" .)

I've seen this clue in The Guardian.
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