Lol, most precise way maybe, but definitely not the easiest. That would be Safari > Empty Cache > Empty.[1] Clear your cookies for me.com*
[2] Reload the page
[3] Savour the cloud in all its glory.
* The easiest way to clear your cookies for me.com is to turn the dev tools on, then choose (Develop > Show Web Inspector). Then click on the storage tab. Then click on auth.me.com in the sidebar. Then delete the three cookies from the table (mmls, lua, wmsid). Click on each one press backspace. Once done it will say "this site has no cookies". Every time you log in the cookies will get set again.