I've had this problem on & off ever since the web console came out. Sometimes I'll go to it and it works fine. But more often than not I'll go to the home (admin) page and only some of the chrome loads up. But the actual database list and details about the server never appear; it looks like there's javascript making a call to the server for information that never comes back. I usually get a Chrome warning that the page is hung and should it kill the task. After that if I refresh it may start to work normally for a while.
Likewise, switching from the admin to the query screens, a lot of times it'll hang. It'll keep trying to load and Chrome won't let me close the tab. Or again some of the page comes up but I'll eventually get a Chrome warning that the page is unresponsive and should it kill it. Getting it to work again never seems as simple as refreshing the page.
Sometimes, switching to an entirely different browser like Safari will help. But not always.