Abstract: Cover caps to protect the lens and eyepiece of a sighting telescope are resiliently connected by a pair of elastic bands. Each cap is provided with a pair of respective axially-oriented channels, each channel being larger at the end in proximity to the front of its respective cap, and the smaller end of each channel is proportioned to permit one end of one of the elastic bands to be threaded therethrough. Each end portion of each band is first threaded through a respective one of the channels, and then each end portion is folded over and secured to itself to form a thickened endpiece. Thereafter, each endpiece is retracted into its respective channel.