How is “finish up” used?

In Unbreakable (2000), one line is: “Why don't you go upstairs now and let me finish up, okay?”

Which movie is “finish up” from?

The clip at the top of this page is from Unbreakable (2000).

to complete the remaining part of a task, meal, shift, or piece of work

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to complete the remaining part of a task, meal, shift, or piece of work

Definiciones del Oxford Advanced Learner's Dictionary, 9.ª edición

Why don't you go upstairs now and let me finish up, okay?

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