A cover and trigger assembly is provided that includes having a valve that can be actuated for dispensing the contents of the can through an outlet of the valve. The assembly includes an annular component having a helical surface is secured to the can, and a cover coupled to the annular component. The cover has an opening through which a trigger extends, and the cover is rotatable relative to the helical surface on the annular component for rotatably raising or lowering the cover relative to the annular component. The raising or lowering of the cover respectively prohibits or permits movement of the trigger member to actuate the valve, thereby controlling dispensing operation of the valve.