A durable, accessory cover assembly for a computing device, such as a cellular phone or a tablet computer. The accessory cover includes a frame, a first covering portion, and a second covering portion. The first covering can be composed of a wear-resistant material, such as leather; whereas, the second covering can be composed of a pliable particulate-absorbing material, such as microfiber. The first covering can be configured to seamlessly cover an external bottom surface of the frame, four external lateral surfaces of the frame, and four internal later surfaces of the frame, as well as an overlap region of an internal top surface of the frame. The second covering can be configured cover a majority of the surface area of the internal top surface of the frame, where it abuts the first covering along an annular region.