Crossword Genius

C-lister in rehab? (7)

Ross

I believe the answer is:

cleaner

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

'rehab?' is the definition.
I can't tell whether this defines the answer.

'c-lister' is the wordplay.
I cannot really understand how this works, but
'c' is within the answer.
The remaining letters 'leaner' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

'in' acts as a link.

Can you help me to learn more?

(Other definitions for cleaner that I've seen before include "Dirt remover" , "Worker" , "Maybe Daily" , "Charwoman - vacuum" , "less sleazy?" .)

I've seen this clue in The Independent.
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