Green tea actually does have cancer-fighting properties, it's anti-angiogenic. It's also involved in preventing and/or reversing the methylation of epigeneteic cancer genes.
That sounds nice, but is there good evidence that this actually happens, or that if it happens that it improves outcomes or quality of life? A bit of time on Google finds http://www.cancer.gov/cancertopics/cam/green-tea-review, which at least found that it probably wouldn’t make things any worse.