The area and potential heat flow through the device are insufficient for having a substantial effect on a persons body temperature. On that I agree with the other posters.
I seriously doubt that the device can actually save energy. A peltier element consumes about 3W to transport 1W. That energy needs to be disipated too. A person creates roughly 50W of heat without much activity. When made feel cooler the body will create more heat to make up for the heat loss. AC does not only have to get rid of the heat it also needs to provide fresh air and remove humidity. It would save much more energy to allow a room to get a few Kelvin warmer.