Thanks for the excellent reference to the Science article, aelephant. The connection between sugar and cancer goes back to Otto Warburg's discovery in 1931 that cancer thrives on glucose:http://www.drheise.com/cancersugar.htm
Ketogenic, high fat diets have also been found to be very useful in controlling or reversing cancer:http://www.time.com/time/health/article/0,8599,1662484,00.html
Thus, it makes sense that intermittent fasting could be helpful in controlling cancer. What is most interesting to me in the article you quote is the element of cyclic fasting. Perhaps the alternation between feeding and fasting works to prevent cancer cells from adapting to a state that allows them to grow and metastasize freely.