finish up

finish up

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.
See also: finish, up
Farlex Dictionary of Idioms.

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.
See also: finish, up
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs.

finish up

v.
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!
See also: finish, up
The American Heritage® Dictionary of Phrasal Verbs.
See also:
  • he who begins many things finishes but few
  • He who begins many things, finishes but few
  • from start to finish
  • draw a line under (something)
  • draw a line under something
  • finish off
  • be in a groove
  • be in the groove
  • cap it (all) off
  • cap it all off