Tungsten rings can be cut off in case of an emergency just about as easy as a ring made with a different type of metal can be. There are tools specially made for cutting tungsten and titanium jewelry. Tungsten rings can also be broken into pieces using a pliers or other similar tool should there be a case for it. Most hospitals in this day and age have all the necessary tools for situations like cutting off a ring. Don't let the rumor that tungsten rings aren't able to be cut off in case of an emergency fool you! Just like any other metal, a tungsten ring can be cut should it need to be.