As a companion for one, you can take your pick (6)

I believe the answer is:

shovel

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'pick' is the definition.
The definition and answer can be both man-made objects as well as being singular nouns.
Perhaps there's an association between them I don't understand?

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

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(Other definitions for shovel that I've seen before include "''Don't forget your..., if you want to go to work'' (Christy Moore)" , "digger" , "Digging implement" , "Large spade" , "Old clerical hat" .)

I've seen this clue in the Evening Standard.

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