Abstract: A torque anchor for anchoring well equipment in a well conduit to arrest movement in both longitudinal directions and rotation in a first direction, but not rotation in an opposed second direction. A mandrel connected to the equipment has L-shaped grooves for slideably receiving respective pins from a drag body on the mandrel. A slip retainer on the mandrel houses slips for selectively engaging and disengaging the conduit. An initial pull of the mandrel causes the pins to move the drag body toward the slip retainer driving the slips outward to grip the conduit, and rotation of the mandrel in the first direction sets the anchor to arrest movement. Further pulling maintains the set position. The anchor is unset by releasing pull, rotating the mandrel in the second direction, and pushing the mandrel to disengage the slips. Alternate unsetting requires increased pull beyond the shear resistance of the slip retainer.