Cloning may cause a ruckus when it comes to stem cell research and the like, but what if the same cloning method that produced "Dolly" the sheep produced the meat on your dinner table? It may not be as taboo as you think. Cloning from an agricultural standpoint usually refers to the offspring of cloned animals, but some people want that association clearly identified.
How would you know if your burger contained cloned meat? By making the genetic information of those animals publicly available. This would allow retailers to trace the meat to back to a cloned source. However, skeptics don't believe there is any relevancy to health and being able to track these animal products.
Consumers, however, are increasingly interested in finding "clone free" meat. With organic and natural foods on the rise, it makes sense. People who choose to stay carnivorous may want to know they're getting a clearly defined product. The FDA says they're not requiring this type of meat be labeled. While there is no system in place for tracking, I wouldn't be surprised if we see this in the future.