That Rubber Stuff
The rubber backing is called Tuff Break and Fred Woell sells it. The last I ordered his number was 207-348-5267. I like it for several reasons. Not only does the rubber add to protect the counter enamel while setting, it also gives the enamel piece a cushion during setting which help me not crack the piece during this process, and it take care of that tinny sound of the enamel against the metal once the piece is complete.
Many enamelist use glues or a piece of plastic behind the enameled piece and I feel this is a more professional element of the whole jewel.