Rolling mill for cold pilger rolling, comprising a roll stand for rolling a tube blank by means of cold pilger rolling, and a feed device, wherein the tube blank is moved through the roll stand by means of the feed device during the rolling process, wherein at least one first clamping element of a first driven clamping slide and at least one second clamping element of a second driven clamping slide are fixed to the tube blank in alternation so that the tube blank is initially moved through a stroke of the first clamping slide and subsequently through a stroke of the second clamping slide, wherein each of the clamping elements is constructed according to the principle of a collet chuck, wherein the region of frictional engagement is in each instance closer to one of the ends of the clamping element, and wherein at least one of the clamping slides (4, 6) is driven by way of at least one spindle (14, 14', 15, 15') and spindle nut (16, 16', 17, 17') which is arranged particularly at the clamping slide (4, 6), characterised in that - the first clamping element is oriented oppositely to the second clamping element so that the two regions of frictional engagement at the moment of transfer can have a particularly small spacing; and - a conjunctively moved drive motor, particularly for drive of the spindle nut (16, 16', 17, 17'), is arranged at at least one of the clamping slides (4, 6); and - the conjunctively moved drive motor is configured as a sleeve shaft motor surrounding the spindle (14, 14', 15, 15'). a roll stand for rolling a tube blank by means of cold pilger rolling, and a feed device, wherein the tube blank is moved through the roll stand by means of the feed device during the rolling process, wherein at least one first clamping element of a first driven clamping slide and at least one second clamping element of a second driven clamping slide are fixed to the tube blank in alternation so that the tube blank is initially moved through a stroke of the first clamping slide and subsequently through a stroke of the second clamping slide, wherein each of the clamping elements is constructed according to the principle of a collet chuck, wherein the region of frictional engagement is in each instance closer to one of the ends of the clamping element, and wherein at least one of the clamping slides (4, 6) is driven by way of at least one spindle (14, 14', 15, 15') and spindle nut (16, 16', 17, 17') which is arranged particularly at the clamping slide (4, 6), characterised in that - the first clamping element is oriented oppositely to the second clamping element so that the two regions of frictional engagement at the moment of transfer can have a particularly small spacing; and - a conjunctively moved drive motor, particularly for drive of the spindle nut (16, 16', 17, 17'), is arranged at at least one of the clamping slides (4, 6); and - the conjunctively moved drive motor is configured as a sleeve shaft motor surrounding the spindle (14, 14', 15, 15'). - the first clamping element is oriented oppositely to the second clamping element so that the two regions of frictional engagement at the moment of transfer can have a particularly small spacing; and - a conjunctively moved drive motor, particularly for drive of the spindle nut (16, 16', 17, 17'), is arranged at at least one of the clamping slides (4, 6); and - the conjunctively moved drive motor is configured as a sleeve shaft motor surrounding the spindle (14, 14', 15, 15').