baysail

This was caused by deleting a role that was used in our conditions in the menu. It was solved by adjusting the conditions for the menu.

I just downgraded to the latest version of 2.5 from the developer tab by following instructions here:
https://docs.woocommerce.com/document/installing-uninstalling-woocommerce/
by deleting the plugin files by FTP and reinstalling an older version.

And it solved my problem! Maybe it will work for you.

I have the same problem with this version of WC but on wordpress 4.6.1 with host wpengine on a staging server that does not have caching.

This person had the same problem and solved it with a change to wp_config but this is not my problem.
https://community.theme.co/forums/topic/woocommerce-cart-always-empty-with-anonymous-user-with-chrome-and-safari/