Kourtney Kardashian hawks its health benefits. Counterfeiters and chemists labor to unlock its molecular secrets. And now it's at the center of an international branding war. It's honey, but not just any honey. It's ManÅ«ka honey, a sweet extravagance from New Zealand that sells for a sticky $2.50 an ounce—six times the cost of conventional honey—and has attracted a slew of famous fans.