You call someone a boobatic when they are being stubborn and are getting annoying. Or maybe a bit too dramatic. It can also be used as to call the person a dummy. You can even use it as a playful name with close friends.
Boobatizing is a form of fighting. It is used when one girl fights another girl, and the goal is to punch eachother in the breast. This effect is painful, which is why it is used to fight.