John, some will make it, I'm sure. If clematis didn't have the will to survive, then none of the varieties would self-propagate in nature!
Teri, do you have a photo of what your leaves are doing? How long is the clematis vine and does it seem healthy? Also, what type of lighting and humidity conditions do you have? Is your plant directly under a vent by any chance? I've started some clones indoors that did well, but they were just experimental while I got the hang of my nifty new cloner! I didn't keep them inside longterm under growing lights but moved them outdoors in liners. All of my frozen babies seem to be putting out tiny sprouts now that the weather is warmer (though it will get cold again soon). It would really help to see a photo and/or get a better description your plant as a whole and it's environment.