Iframe in Chrome error: Uncaught SecurityError: Failed to read the 'sessionStorage' property from 'Window'
I had the same problem with localStorage, and fixed it like this :
Under Settings > Privacy > Content settings, change the cookies' settings to "Allow local data to be set" or the second option (in my case, it was previously on "Block sites from setting any data").
Edit
On newer Chrome versions, make sure the first option is ticked here: chrome://settings/content/cookies
I had the same issue, but my problem was a script blocking plug-in ScriptBlock that I had set to allow the site but was still blocking some actions and not reporting it.
Disabled the script blocker and voila!
If you still want to block most 3rd party cookies, you can add an exemption. I usually can do it through the cookie button that pops up in the AddressBar, but it wouldn't let me for localhost. I had to add it via chrome://settings/content/cookies Picture of chrome://settings/content/cookies