Any language can support edit and continue, its more a matter of your debugger than programming model. Live programming goes beyond edit and continue in that your program execution is repaired retroactively with respect to edits made.

I am planning to port Glitch and my entire language stack over to Javascript eventually, if just to provide someway of releasing a prototype to the public. Right now, everything is done in C#/WPF, which is an awesome environment, but means Windows only.