Up to now the same happens to my Genius BL mouse and 640XL, it works smoothly BUT couldn't re-connect without phone restart. I think that it's a MS fault on W10m and they have to fix it.
Someones say that when W10M is released, it is optimized for each Lumia models and that is the difference from inside built. Is that true for all OS in general and W10M in particular ?
What happens when you minimize the font so that the phone becomes a PC and then connect it to a monitor or TV and using a blue-tooth mouse with them. Can you have some of the Continuum experiences ?