Vomit, as in The new drug makes many patients throw up. [First half of 1700s]
Abandon, relinquish, as in After the results of the poll came in, she threw up her campaign for the Senate.
Construct hurriedly, as in The builder threw up three houses in a matter of a few months. [Late 1500s]
throw it up to. Criticize, upbraid, as in Dad was always throwing it up to the boys that they were careless and messy. [Early 1800s]