Abstract: A multi-tank/vessel buoyancy system for use in deploying and connecting tendons or other elongate members between subsea anchors and floating/semi-submersible platforms. The vessels are interconnected at axially spaced locations toward their upper ends and lower ends, there being an equalizing system proximate the top ends of the vessels to permit ingress and egress of air into the vessels and a lower water equalizing system to permit free-flowing ingress and egress of water into the vessels. There is at least one clamping system operatively connected to the multi-vessel system, the clamping system, like the valving systems, being remotely, acoustically operable from a PLC on a work barge or the like.