A clamp system having a clamp adapted to be removably fastened to a wide variety of stationary support forming a base on which additional clamps or rods may be mounted for the purpose of holding a workpiece, the clamp including a tensioning device allowing a piece of cord to be looped over a part of the workpiece and pulled taut to bind the workpiece to the clamp. The cord is quickly and easily attachable to the clamp, fixed in place under tension, and quickly and easily released. The clamp comprises: a frame, clamping screw subassembly, at least one jamming cleat formed as part of the frame, and adjustable connector feature formed as part of the frame for connecting two or more frames together. A length of cord may be tensioned and secured within the jamming cleat of the frame and means is provided for anchoring the cord within the clamping plate.