Taxis carrying right nippers (5)

I believe the answer is:

crabs

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'nippers' is the definition.
The definition and answer can be both animals as well as being plural nouns.
Perhaps you can see a link between them that I can't see?

'taxis carrying right' is the wordplay.
'taxis' becomes 'cabs' ('cab' can be a synonym of 'taxi').
'carrying' indicates putting letters inside.
'right' becomes 'r' (abbreviation).
'cabs' going around 'r' is 'CRABS'.

Can you help me to learn more?

(Another definition for crabs that I've seen is " Marine crustaceans".)

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