Having read the original reference it mentions it uses the non radioactive isotope, but having read how it works I suspect it would work just as well with the radioactive isotopes.
well saying that only one of the isotopes has a long enough half life - all the others would have the annoying habit of decaying quite quickly to something other than ceasium, which would kind of bugger up the equipment as it a property of ceasium and it's orbiting electrons that they are utilising, which is why the long lived isotope would be ok as it will have the same electron properties.
you can tell I'm bored at work - think I'll go and get a coffee