A stuffing box for a pressurized well where plural cables are attached end to end, and the connector has a larger diameter than either of the cables. The stuffing box structure is a combination that includes a housing for the connector and a packing gland for each of the cables. It has a latching holder that incorporates one of the glands, and a receptacle for holding the latching holder removably therein. The receptacle may be mounted at the well head, and it has the other packing gland removably attached to it. The latching holder has a seal that cooperates with the receptacle when the holder is inside. The whole arrangement permits retaining a pressure seal while moving the connector through the stuffing box in either direction.