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A tiny piece and others covering naked back said to bring luck (5,7)

Ross

I believe the answer is:

white rabbits

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

'naked back said to bring luck' is the definition.
I know nothing about this answer so I cannot tell whether this works.

'a tiny piece and others covering' is the wordplay.
I cannot quite understand how this works, but
'a' is within the answer.
'piece' could be 'bit' (synonyms) and 'bit' is found in the answer.
'covering' could be 'white' (white is a kind of covering) and 'white' is located in the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Another definition for white rabbits that I've seen is " said to be lucky?".)

I've seen this clue in The Times.
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