The miniature teacup Chihuahua refers to the same breed of Chihuahuas, except that it weighs lesser than the standard weight. A miniature teacup variety weighs less than 3 pounds. In fact, it is unusually small as a pup. These pups are born within a litter of regular Chihuahuas. It is also referred to as 'teacup', 'pocket', or 'tinies'.