[1] http://arstechnica.com/apple/2012/07/recyclers-disagree-on-i...
> Originally, "lithium polymer" stood for a developing technology using a polymer electrolyte instead of the more common liquid electrolyte.
> The second meaning appeared when some manufacturers started applying the "polymer" denomination to lithium-ion cells in pouch format.
The first one (polymer bag around a lithium ion battery) is currently used in many devices, but the second (polymer electrolyte) is not commonly used and seems to be an active area of research.
http://en.wikipedia.org/wiki/Lithium_polymer_battery
The (common) Lithium Polymer batteries are, according to the Wikipedia page, as safe (or unsafe) as Lithium Ion batteries.