Hi There,
I have the same issue (not able to see the history) and I’m using WordPress version 4.5.2
It happened after wordpress together with the plugin to a new server.
I’ve already reinstalled both, WordPress and Bubble Menu plugin, but still not showing up.
Same as Deinos, I can create and save new menus, but then, in the History, they are not showable.
Thanks for your time.
Mauro