There is supposedly a protection if you're in a lease *if* the lender has given permission for it to be let out, at least according to MSE. When we were looking at flats, we asked for that permission from one landlord, and it caused a bit of a problem. Not because I think that there wasn't permission, but it was a PITA for them to show it. We then didn't bother with this flat, but it was through a major letting agent. It makes me a bit nervous about it now though. However, our current landlord is pretty secure and responsible.
But if you're on month to month, I doubt you have any protection, unfortunately. It seems a renter's nightmare.