Trailers for picking up cutting tool (4)

I believe the answer is:

adze

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'cutting tool' is the definition.
(adze is a kind of cutting tool)

I can't explain the rest of the clue.

(Other definitions for adze that I've seen before include "Woodworker's tool" , "One cuts" , "Wood-dressing tool" , "Wood-cutting tool" , "Timber-shaping tool" .)

I've seen this clue in The Times.

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