A cover for a distribution line conductor includes a cover body defining a channel extending along a lengthwise axis and adapted to receive the conductor. A unitarily formed attachment structure adjoins the cover body. The attachment structure includes first and second jaws positioned adjacent the channel. The first and second jaws are positioned at different locations along a jaw axis parallel to the lengthwise axis and, in a closed position, overlap one another across the jaw axis. The first and second jaws are relatively deflectable from the closed position to an open position to permit passage of the conductor therebetween and into the channel and the first and second jaws can thereafter return toward the closed position to secure the conductor in the channel.