I use the product called Cerama Bryte to clean fusible web from the soleplate of my cold iron. The product is made for cleaning glass and ceramic cooktops, which is how I discovered it -- I received a complimentary sample with my new stove.
I have since purchased a big, 24-ounce bottle for a just a little more than the cost of a small tube of iron cleaner. I use it for all kinds of cleaning. Cerama Bryte is available in hardware stores and appliance stores, or online at
www.ceramabryte.com/