Hi,
What version of Chrome are you using? Is it version .44?
The latest version of Google Chrome Browser does a very strange thing. It sends HTTPS header with value 1 which the is_ssl() WordPress function reads and sets the HTTPS as TRUE.
What this results in is that even though your WordPress is not set to use SSL and no security certificate is present all files like CSS, JavaScripts, Images even all links are set to go through HTTPS connection.
The problem occurs only on the latest Google Chrome v.44 and everything works perfectly on Firefox, Opera, Safari and even Google Chrome version 43.
1) There is a plugin you can install to fix this in the short term, https://github.com/IshYoBoy/aaa-ishyoboy-google-chrome-44-ssl-fix/archive/master.zip.
2) Please run any WooCommerce updates.
Thanks.