A cutting accessory for use with a powered surgical handpiece is described. Said cutting accessory includes an elongated shaft having opposed proximal and distal ends, a longitudinal axis and an outer surface, a tissue working member attached to the distal end of the shaft, the tissue working member designed to accomplish a procedure on the living tissue against which the tissue working member is applied, and a shaft proximal section formed with a plurality of faces that extend inwardly from an outer surface of the shaft, each face having at least one shallow portion and shaped to receive a clamping member that holds the shaft to the handpiece, wherein there are at least two said faces that are arranged linearly so as to extend proximally to distally along the shaft proximal section. The shaft is further formed to have a flat that extends distally forward of the most distalmost face, the flat being located a distance from the shaft longitudinal axis that is greater than the distance shallow portions of the faces are located from the longitudinal axis and less than the distance the outer surface of the shaft is located from longitudinal axis.