Toilet: nothing is cleaner in bathroom? (5)

I believe the answer is:

loofa

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'cleaner in bathroom?' is the definition.
'loofa' can be an answer for 'cleaner' (I've seen this before). I am unsure of the 'in bathroom?' bit.

'toilet nothing' is the wordplay.
'toilet' becomes 'loo' (loo can informally mean a toilet).
'nothing' becomes 'FA' (slang term - sweet Fanny Adams).
'loo'+'fa'='LOOFA'

'is' is the link.

Can you help me to learn more?

(Other definitions for loofa that I've seen before include "clean-up with this" , "Something for the bathroom" , "scrubber from Bath" , "American scrubber" , "Gourd used as a sponge" .)

I've seen this clue in The Guardian.

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