A tubing anchor catcher for anchoring well equipment in a well conduit to arrest movement in both longitudinal directions and rotational directions. A mandrel connected to the equipment has one or more grooves for slideably receiving respective drive pins from a drag body on the mandrel. A slip cage on the mandrel houses a slip or slips for selectively engaging and disengaging the conduit. Manipulation of the mandrel at surface causes the drive pins to move within the one or more grooves on the mandrel and the drag body conical surface to move toward the slip cage driving the slip or slips outward to grip the conduit. Further pulling at surface maintains the set position. The anchor is unset at surface by releasing the tension, rotating the mandrel in the second direction, and pulling the mandrel to disengage the slip or slips.