This is a SP2013 issue:
I've placed a basic list view webpart onto a page. I try enabling the "view selector menu" to show from the webpart properties. When I apply the changes, the view selector shows while still in edit mode. When I save the view, the option reverts back to disabling the view selector. I can figure out why for the life of me. I have tried with both SP2013 preview and an on-prem and get the same exact issue (both OOB masterpages and a custom one). Any ideas?