A tool for the turn/turn broaching or external milling of a workpiece is disclosed. The tool comprises a disk-shaped broaching wheel or at least one segment of such a broaching wheel. In each case, at least one cutting-tip holding fixture in each case for receiving a cutting tip is provided on the end faces of the broaching wheel or segment laterally adjoining a circumferential surface. On at least one of the two end faces, a cutting-tip holding fixture is formed in a cartridge, which is axially adjustable with respect to the broaching wheel or segment by an axial clamping wedge. The cartridge is designed in such a way that it at least partially covers the axial clamping wedge in a direction towards the circumferential surface.