Abstract: Self-aligning tip elements are achieved in accordance with preferred embodiments of the invention by providing a edge surface of each tip element with key and notch formations which will interfit with each other in a prescribed orientation when the tip elements are inserted into the bobbins of the a tweezer handpiece and the tip elements are brought together by squeezing-together the legs of the tweezer handpiece. By utilizing a symmetric arrangement of key and notch formations on each tip element, a pair of like tip elements can be used together instead of requiring special left and right tip elements.