Piece of Sheraton with four legs (3)

I believe the answer is:

rat

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'with four legs' is the definition.
Although both the answer and definition are singular nouns, I cannot see how they can define each other.

'piece of sheraton' is the wordplay.
'piece of' indicates a hidden word.
'RAT' is hidden within 'sheraton'.

Can you help me to learn more?

(Other definitions for rat that I've seen before include "Renegade" , "Desert - rodent" , "Unpopular rodent" , "Abandon" , "Treacherous rodent" .)

I've seen this clue in the Evening Standard.

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