In Safari 7, the main html file with a manifest is loadable when offline, but none of the external resources are loaded, even if they're listed in the manifest file as cached. Safari's resource pane lists the files as in the application cache, but it will not load them. I've tried an extremely simple test, checked MIME type of the manifest file, renamed the manifest file, and tried other demos. Here's an example that works fine on Chrome, but on Safari it will not load the sticky image when offline: http://htmlfive.appspot.com/static/stickies.html
This is the same problem described in AppCache misbehaving in Safari, firefox, but I think that question doesn't make the problem as clear, and I wanted to provide a question with a concrete demo. Is there a work-around, or does Safari 7 totally not support application cache beyond the primary html file? Thanks!