I am currently collaborating with a couple of scientists on this topic using drugs that were initially developed as anti-cancer drugs. Some anti-angiogenesis drugs have their own problems though and it is not entirely clear whether some may not promote cancer metastasis. More research will be needed.
The problem with food is that any natural compounds will likely not accumulate in your body at high enough levels to make a big difference. A different area of research is the switch from brown to white adipose tissue. Brown fat is present in babies and creates heat to keep the body temperature warm. During growth we loose this type of fat. The thought is that converting adult white fat back to the brown type could prevent obesity. You can google it or look here: http://www.ucsf.edu/news/2012/10/129...rown-fat-cells
There is also research going on to determine how one can limit the formation of lipid bodies that accumulate in adipocytes and are effectively the fat storage sites. The enzymes involved in this conversion are known. I have not heard about natural compounds that affect this process, but think that a ketogenic diet should induce lipolysis, which is essentially the breakdown of lipid bodies into fatty acids.
I think the only way to really get rid of your fat cells is liposuction.