Real Dictionary

throw up
phrasal verb: If something throws up dust, stones, or water, when it moves or hits the ground, it causes them to rise up into the air.
phrasal verb: If you say that a building or structure is thrown up, you mean that it is built or made very quickly, usually so that it is not of very good quality.
phrasal verb: To throw up a particular person or thing means to produce them or cause them to become noticeable.
phrasal verb: When someone throws up, they vomit.

throw up in American English
to give up or abandon
to give up; relinquish

throw up in British English
to give up; abandon, relinquish