Discontinue one's job as a dispatch worker? (4,2)

I believe the answer is:

pack up

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'discontinue' is the definition.
Both the answer and definition are verbs in their base form.
Perhaps you can see a link between them that I don't see?

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

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(Other definitions for pack up that I've seen before include "(Of a machine) break down" , "Stop working" .)

I've seen this clue in the Evening Standard.

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