Mine always go outside and into a 5 gallon metal can with a lid that contains about a gallon of water. They are left there until I'm taking out the trash. I then wring them out and put them into the trash.
About 50 years ago I was using linseed oil on a large table, and when I was spending time re-arranging some things in the shop so I could set up some additional saw horses to allow more space for the table leaves to dry, the rag that I was using to wipe on the linseed oil laid crumpled up on the corner of my workbench. It must have sat there for about an hour before I got back to it. When I picked it up to use it again, the rag was almost hot enough to burn me. It taught me a strong lesson about oil soaked rags and ever since then I've taken them out of the shop just as soon as I stop using them. I won't even spread them out to dry inside my shop and definitely never near anything that will burn. When helping a cousin a few years later, he had no place to put the rags when we finished, and I insisted that he had to take them outside. We ended up draping them over a chain link fence between his neighbor's yard and his. After they had dried, he put them in his trash. A few days later the neighbor asked why his fence had been decorated, and my cousin told him the reason.
Charley
About 50 years ago I was using linseed oil on a large table, and when I was spending time re-arranging some things in the shop so I could set up some additional saw horses to allow more space for the table leaves to dry, the rag that I was using to wipe on the linseed oil laid crumpled up on the corner of my workbench. It must have sat there for about an hour before I got back to it. When I picked it up to use it again, the rag was almost hot enough to burn me. It taught me a strong lesson about oil soaked rags and ever since then I've taken them out of the shop just as soon as I stop using them. I won't even spread them out to dry inside my shop and definitely never near anything that will burn. When helping a cousin a few years later, he had no place to put the rags when we finished, and I insisted that he had to take them outside. We ended up draping them over a chain link fence between his neighbor's yard and his. After they had dried, he put them in his trash. A few days later the neighbor asked why his fence had been decorated, and my cousin told him the reason.
Charley