An anastomosis tool may include a tissue effector having an anvil and a staple holder movable relative to one another, where that tissue effector may be movable from an open position to a closed position. A fluid-driven actuator may be utilized to move the tissue effector between those positions, and/or to deploy connectors from the staple holder when the tissue effector is in the closed position. The fluid-driven actuator may utilize pressurized gas stored in a cylinder or reservoir within the anastomosis tool. A separate clip applier may be used to close the entry hole made by the anvil in a target vessel.