While the clean out screw makes it a bit easier to clean out the drum, it is not necessary to remove it to get a good cleaning job done. Also, there are some drums on less expensive guns that have a false drum screw. They cast a screw head to make it look like there is a screw but it is fake. If you have one of these and the screw slot is screwed up, you can just file it off smooth, blend the surface into the surrounding surface of the drum and touch it up with cold blue or one of the browning solutions.
To try to remove the screw, if you don't know if it is a fake or not, determine what size threads you have on your nipple and get a bolt that size to screw into the nipple hole to plug it. Tip the bore up and fill it with penetratiing oil. Let it set for a few days and then use a brass or other soft metal drift to place against the head of the screw and give it a few good raps with a hammer (hit the drift not the screw). This will help break up any rust and corrosion that is in the threads and allow them to work free. Now give the screw another try. If it moves, do not try to take it all the way out. Rock it back and forth and sloooooly work it out. This will further break up any rust and corrosion bits and allow the screw to turn. If you try to remove it all at once, sometimes the rust flakes will jam up in the threads and jam the screw again. Rocking it back and forth will break up these flakes and they will be less able to jam the screw. Application of a little heat with a propane torch will also help but be careful that you don't over heat the drum and discolor it. You want it way too hot to touch but not enough to cause a color change. If a drop of water will sizzle on it, it is plenty hot enough.
Be sure that if you use a vise, that you pad the jaws to keep from marring your finish on your barrel. Sheet copper or lead is good. You can also buy polymer jaw pads from some machinery and tool dealers. When trying to loosen uncooperative screws, I always place some rags around the screw just in case the screw driver slips. The rag padding will keep the screw driver from gouging your barrel if it slips.