The invention provides a rotational and/or axially translatable atherectomy system, device and method having a flexible, elongated drive shaft or catheter having an expandable and collapsible conical coil with a cutting edge on the coil's large diameter proximal end. When retracted, the coil's sections are collapsed around each other, held together in the retracted position by a sheath that, when distally retracted, allows the coil to automatically expand. The coil is expanded at a point distal to the occlusion, then pulled proximally to cut the occluding material near the lumen wall. The proximal pulling force may be combined with low-speed rotation and/or translation and/or axial vibration at low to ultrasonic frequency.