Native American Watch Company on the rocks (7)

I believe the answer is:

choctaw

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'native american' is the definition.
(I've seen this before)

I don't understand the rest of the clue.

(Other definitions for choctaw that I've seen before include "Tribe living in Mississippi, co-watch (anag.)" , "figure-skating manoeuvre" , "North American Indian" , "skating move" , "Native American - skating movement - cat chow (anag)" .)

I've seen this clue in the Sydney Morning Herald.

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