Abstract: A method for reaming a hole in a metal substrate that minimizes the tendency of long and stringy metal chips to be formed that can surround the reamer with a “steel wool-like” mesh or mass of material, as well as an improved reamer for carrying out this method. The reaming method involves longitudinally advancing the chamfered end of the reamer into the hole at an increased rate of at least about 5 mils (0.13 mm) per cutting edge as the hole is reamed during rotation of the reamer. For holes or bores having a length (L) that is at least about 3 times the cutting diameter (D) of the reamer, a preferred subsequent step is to momentarily reduce the rate of advance of the chamfered end into the hole to about 1 mil (0.025 mm) or less per cutting edge for from about 1 to about 5 rotations of the reamer.