A clip for holding a first section of fiber optic cable to a second section of fiber optic cable is useful in forming a weave pattern in a fiber optic security fence. The fiber optic security fence is constructed by forming a zigzag pattern in a fiber optic cable and attaching this pattern to an existing barrier fence, e.g. a galvanized chain-link fence. Clips are provided to hold portions of the fiber optic cable together in the zigzag pattern. The clips are formed such that, once installed, they are very difficult to remove without cutting, stressing or bending the fiber optic cable sections passing therethrough. Therefore, the clips will prevent intruders from disconnecting the pattern of the fiber optic cable, in order to cut through the barrier fence and gain entry into a secure area.