I just tried it in Chrome 38.0.2125.101 (64-bit) and...

Unexpected error

There was an unexpected error. Please reload the page and try again.

Error Code: M7063-1913

So... yeah.

UPDATE: Looks like the problem was I had an old version of NSS installed (see http://www.omgubuntu.co.uk/2014/09/ubuntu-rolls-updated-nss-...). Upgraded that with

    sudo apt-get install --only-upgrade libnss3

...and now Netflix works fine in Chrome.