Devices, systems and methods are provided for anchoring implantable medical devices to maintain an implanted position. In particular, twist-grip anchors are provided. In some embodiments, the twist-grip anchor comprises a first support having a first lumen, a second support having a second lumen, and a sleeve having a first end fixedly attached to the first support and a second end fixedly attached to the second support, wherein the first and second supports and the sleeve are aligned to allow the passage of the elongate device through the first lumen, second lumen and sleeve, and wherein rotation of at least the first support twists the sleeve so that the sleeve engages the elongate device in a manner that resists movement of the elongate device in relation to the sleeve. The anchor is then attached to the tissue, such as by suturing.
