A visor assembly may clip onto a mobile electronic device, and may broadly include: an attachment member securable to the device; at least one hinge secured to the attachment member; and a plurality of cascading shroud members, each pivotally coupled to the attachment member using the hinge. Adjacent shroud members are selectively interconnected. Rotational movement of a first shroud member from a retracted position to a first angular displacement, correspondingly drives a second shroud member to rotate in unison. Continued rotation of the first shroud member successively drives remaining shroud members to co-rotate, until it has been rotated to a second angular displacement, and the plurality of shroud members are each then deployed into a respective fully extended position. A friction fit at the interconnection between adjacent shroud members is sufficient to releasably inhibit movement resulting from only a weight of the shroud members and the orientation of the device.