finish up

verb — 2 senses

finish up

verb

1

Ambitransitive To complete the last details of a task.

They were finishing up the dishes.
Their shift was over, but they were still finishing up.

1 more example

I'll finish up my homework and then we can go out.

2

To consume the last part of (something).

Do you want to finish up these cookies?

Entry derived from the Wiktionary, under licence CC BY-SA 4.0 — list of authors.