A covering device for an elongated telescopic sight that is mounted on a gun shaft, wherein the elongated telescopic sight has a first end and a second end, the covering device comprising a first pocket having an opening and a coverable end and a second pocket having an opening and a coverable end, wherein the first pocket is coupled to the second pocket by an intermediate member, oriented non-linearly relative to the second pocket, and is facing in at least a substantially opposite direction as the second pocket; wherein the first pocket is coverable upon the first end of the telescopic sight, the intermediate member is wrappable around, underneath or over at least a portion of the gun shaft and the second pocket is coverable upon the second end of the telescopic sight.