"Give It Up" speaks of both what is and is not important in this world. It is only fitting that Christine herself explain the first part.

I would have to say that "Give it Up" is probably my favourite song. This song follows an ongoing theme of mine which is the transient state of our existence. This world is passing and so are we from this world, so it’s important not to hold on too tightly to things that are only temporary. -- Christine Evans

Mahoney, K. An Interview with Christine Evans Retrieved September 23, 2007 from About.com
Website: http://christianteens.about.com/od/christianmusic/a/CEvansInterview.htm

The director, Aaron Matthew Kaiser, also infers that the song implies that since temporary things are not important, the things that are important are the relationships we have with those around us.

This music video portrays Priscila Netto as Christine and tells an unfortunate, tragic story where she must lose someone important to her to realize that everything else that she is clutching onto is truly unimportant.