One approach, which Java is taking, is to implement a more structured form of continuation, rather than say the Scheme-style call/cc ones. A quote from the article: "To be more precise, if you're interested in the theory of continuations in the academic literature, the kind of continuation of this class implements are called one-shot multi prompt delimited continuations..."
but still look interesting if somehow manage to be performant-enough and tame enough. I think continuations are best for the internals of the compiler/vm than to surface to the end user...