Abstract: A center turning tool usable with a machinist lathe and insertable in the tailstock thereof. This tool may be used by the improved method of leaving the workpiece set up of the lathe as is and with the addition of this tool perform the cutting or reforming of a proper center in the workpiece. This center reforming tool includes a main support structure having a movable and accurately adjustable keyed toolfinger therein for supporting a toolbit removably held in place thereon. Accurately threaded adjustment structure is provided for the movable toolfinger together with appropriate handle mechanism for making fine accurate movements of the toolfinger structure and toolbit held thereby. A keyway and associated guide pin prevent the toolfinger from revolving within the main support as the toolfinger is moved in and out thereof. The pin is also adjustable to eliminate any sloppiness or movement of the toolfinger and to apply proper tension thereto.