I believe it is a risk, especailly with gas appliances. Even though your dryer is electric, is still gets so hot that there is a chance of a problem. I also limit my use of paper towlels and use cloth rags for almost everything. But, since I also have heard of the dangers of putting oily cloths in the wash here is what I do. I will use something I would consider a scrap material like an old envelope or piece of junk mail, a label from a can, sometimes a cardboard piece (usually I like to recycle cardbard). Sometimes if I order something in the mail and they use lots of that unprinted newspaper material and it is all wadded up I'll use a hunk of that. I can't think of many specifics right now. I just use something that I would normally be throwing away to scrape off the bulk of grease without soaking it all into my dishrags. One other thing is if the grease is really thick, I will just use a spoon to rake it into a green bean can or directly into a trash bag. My grandma always kept a can or jar that she would fill with grease/oil until it was full then throw it away. Also, I think that grease can build up in your pipes and may eventually cause your drains to clog.