Doesn't sound healthy. Check what the "mute" key is in KeyClone, I think the default is Scroll Lock or Pause. You might be accidentally muting it which is turning broadcasting off. Usually when you mute there is a dialog window that pops up that shows "MUTE" in big green letters.

If you have the option on that auto focus the window you move the mouse into I don't think you can get the KeyClone dialog on top of that window no matter how many times you click the taskbar icon. You can't minimize the main window in this case either.

If it is really crashing and not responding at all then you can try posting on the KeyClone site. I have never had KeyClone just stop responding on me even after some marathon sessions with 5 instances and PiP switching like crazy. Now and then the PiP screws up but there are tricks to fix it.