Crossword Genius

Cross channel swimmer not covered in fat rejected warning to stop (7)

Ross

I believe the answer is:

leander

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

'cross channel swimmer' is the definition.
'leander' can be an answer for 'swimmer' (I've seen this before). I am not certain of the 'cross channel' bit.

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for leander that I've seen before include "In Greek legend, lover of Hero who drowned in the Hellespont" , "Hero's mate" , "Tragic Greek" , "youth who drowned" , "Hellespont swimmer" .)

I've seen this clue in The Independent.
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