A cable clamping arrangement for securing one or more cables to a submerged hull surface of a ship. The cable clamping arrangement includes a plurality of powerful magnetic clamping devices for attaching signal carrying cables to a submerged ferrous submerged hull surface. The cable clamping devices each have a low-profile and are dome shaped to reduce hydrodynamic interference when the ship is travelling at operational speeds. The clamps are equipped to grip a cable in a desired path at a desired tension, thereby increasing the ability to maintain the cable in a fixed manner on the surface while the ship is operating.