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1. To end or conclude. When do you think the dinner party will finish up? I think the caterers need the room. The concert should finish up around 11.
2. To stop working on someone or something. In this usage, a noun or pronoun can be used between "finish" and "up." My 10:30 client was a cut and color so I'm just finishing her up now. The boss wants to know how much time you need to finish up the report.
finish someone or something up
Fig. to finish doing something to someone or something. I will finish this typing up in a few minutes. She finished up Fred in a short time.
1. To conclude something; bring something to an end: We finished up dinner and took the dirty dishes to the kitchen. The council finished the meeting up by stating when the next meeting would occur.
2. To conclude; end: The meeting finished up at 11:00. Finish up reading your book, already—it's late!