Abstract: A basket structure for supporting linemen performing maintenance work on tower supported lines and method of performing same is disclosed. The basket is embodied within an enclosure having corner members in attachment to sling lines of a helicopter. An inclined appendage on each corner post engages a segment of the tower supported line during elevation of the enclosure by the helicopter to temporarily secure the enclosure in place on the line to permit maintenance task performance. The inclined appendages include a resilient covering to enhance line or static wire engagement. Lugs at the corner post upper ends attach the sling lines in an offset manner to permit unobstructed vertical movement of the enclosure past the line preliminary to upward seating of a pair of appendages against the line.