There are 2,900 household dryer fires each year in the US according to FEMA. If you want to prevent fire in your home, it's pretty easy.
If you put rags with flammable liquids in a dryer, it can cause a problem if they are not adequately washed. Hang drying is not ieal, but they won't spontaneously combust on the clothesline. We always wash something twice and dry it on no heat if it is suspect.
Degreasers are particularly useful when dealing with these flammable greases and oils. We use the purple degreaser available at Sam's Club. It is produced by a very well known and competent chemical company I won't name. It's good stuff. You can also use the original blue Dawn, but don't go crazy with it, it can oversuds. Again, good reason to wash twice.
Source
https://www.usfa.fema.gov/downloads/pdf/statistics/v13i7.pdf