This grew to be a huge pain and the solution is simple. If you think Chrome is the problem you’d only be half right. The real problem is Safari. How can this be?
Read this great short article explaining the problem and offering a simple solution. The good news is you’ll never see than annoying pop up again!
If you don’t feel like reading or learning what the cause of the problem is, just use spotlight to search for ‘Keychain Access’ and delete all the passwords. I use LastPass to remember all my passwords so I don’t need them.