About the message
To communicate with 1Password for Mac, the 1Password X beta needs to verify the identity of your Chrome or Chromium-based browser.
When 1Password verifies your browser’s code signature, your information stays exactly where you expect it to: in 1Password or filled on the right page.
What you should do
Quit and restart your browser. This will make sure that your browser has a valid code signature, so 1Password X can communicate with 1Password for Mac.