'finish up' definitions:

Definition of 'finish up'

From: WordNet
verb
Finish a task completely; "I finally got through this homework assignment" [syn: get through, wrap up, finish off, mop up, polish off, clear up, finish up]
verb
Finally be or do something; "He ended up marrying his high school sweetheart"; "he wound up being unemployed and living at home again" [syn: finish up, land up, fetch up, end up, wind up, finish]