If I click my user icon (for me, the L in a blue circle), then click on the blue person from the drop down, then choose “log out” from the bottom of the drop down, I am logged off of the site.
If I click on the C/C in the top left, I am taken to the home page with the two people sitting on a bench. If I click the “log out” on the top right of that page, it looks like I am logged off but I am not. If I want to log on again, it opens without asking for my user name or pw.