A wallboard-fastening device secures first and second wallboards to a framing member without fasteners passing through the wallboards. The device includes first, second, and third framing panels joined along lengthwise edges to form a three-sided cup sized to fit around the framing member, first and second flat-spring flanges joined along lengthwise edges to form a front seam, and a channel-dividing panel joined lengthwise to the front seam and to the second framing panel to form first and second channels that receive the first and second wallboards. The flat-spring flanges flex to exert restoring forces on the wallboards that push the wallboards against the second framing panel. The device may be configured for edge joints, outside-corner joints, and inside-corners, and thus may be combined for any type of wallboard installation, including both parallel and perpendicular applications.