An anchor system for implantation in body tissue to hold a line. The anchor system comprising an anchor 9 comprising a number of hooks 62 for engagement with the body tissue and having a folded configuration and an unfolded configuration. The anchor 9 is made of an elastic material such that it can be elastically deformed into the folded configuration by application of a constraining force and will return to the unfolded configuration when no constraining force is applied. The end of each hook 62 comprises a tip 160’, wherein the tips 160’ are formed to curve towards a central axis of the anchor 9 when the anchor 9 is in the folded configuration. This prevents damage to a container device and reduces the risk of shavings which can cause stroke. The device is typically used for chordae tendineae rupture and surgical repair of the mitral valve.