It’s paddled up and down (5)

I believe the answer is:

kayak

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'up and down' is the definition.

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

(Other definitions for kayak that I've seen before include "Small canoe used by Eskimo" , "Palindromic canoe used by eskimos" , "Boat used by 23 Across" , "Small canoe - a palindrome" , "A small covered canoe" .)

I've seen this clue in the Evening Standard.

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