Its wrapped in leather, under that is a hardend type of foam and then metal. What your doing is wiping off the leather if you use something too harsh that will happen also with age I just replaced mine with one that was not ripped someone wrapped mine in electric tape and covered it with a steering wheel cover. Cover it or go buy a replacement at a junk yard takes only 30 mins to swap even if u don't fully know how to do it its pretty easy.
Im indian my elders name is Jeep Grand Cherokee, I mean Chief Grand Cherokee. Quoted from Peter Griffin.