A stretchable net cover for a mobile electronic device that provides multiple grasp points and configurations, providing a user with a plurality of ways to hold and use their devices. A user may slide one or more fingers through openings in the netting material to grasp the device, may slide the netting over a forearm, or may hook the device to a purse, belt loop, carabiner, lanyard, retractable or static leash via the netting material. The cover may be provided as an add-on, i.e., designed for use over a mobile electronic device alone or a device enclosed within a case, or may be provided as part of a case for a mobile electronic device.