A cable spacer includes first and second angle arms each having a cable engaging end at one end and a flat tab portion at an opposite end having a connecting tab and an aperture to connect the arms to each other. An insulator extends between and connects the angle arms at their respective connecting tabs. The insulator has a non-conductive core. The angle arms and insulator mounted to each other define a spacer plane. A bottom arm is mounted to and depends from insulator. The bottom arm is mounted to the insulator to sway into and out of the spacer plane. A clamp secures the cable spacer to a messenger and includes upper and lower clamp portions. The upper clamp portion mounts to the messenger and the lower clamp portion mounts to cable spacer angle arms. The lower clamp portion is rotatable relative to the upper clamp portion.