A wrap display system employs a stick (40, 50), and a flexible unit display (20, 120) having an integration of a flexible display (21) and a display cover (22, 122) that are structurally configured to be wrapped around the stick (40, 50). A holdout mechanism (30) can integrated with the flexible display (21) and the display cover (22, 122) to fix the flexible display (21) in a readable position with respect to the stick (40, 50) in response to the flexible display (21) being unwrapped from the stick (40, 50).