Hair-washer in home spa or on the tiles? (9)

I believe the answer is:

shampooer

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

'hair-washer' is the definition.
I can't tell whether this defines the answer.

'home spa or on the tiles?' is the wordplay.
'home spa or' can be anagrammed to 'SHAMPOOER'.
Though, I am not clear how the anagram is indicated.

'in' acts as a link.

Can you help me to learn more?

(Another definition for shampooer that I've seen is " cleaner".)

I've seen this clue in the Sydney Morning Herald.

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