Just tried this out and it works great! Had to build it using the instructions on the wiki, but nothing too painful. It doesn't just integrate with gmail, but more with all textarea's around the web. When you are typing in a textarea and press the extension icon next to the hamburger menu it will pop open a menu containing the text that you were typing on the site, and are given the options to encrypt/sign a message. When done it replaces the contents of the textarea on the site with the signed/encrypted message.
It works quite nicely, and I like it. I would like to see some kind of keybase integration, though it's not hard to import my tracked users into the extension by exporting my gpg keyring and importing it again.
edit: It seems that the keybase website does not like messages created by this extension. https://github.com/keybase/keybase-issues/issues/752