I've signed up a long time ago (yay early adopters I guess), so I can't comment on the sign up process or setup with your own GPG key nowdays.
But their website works 100% and provides all the functionality if you don't let them host the private key (they give you an easy-to-inspect snippet to paste into your terminal that downloads/signs/uploads things for them. Note, it does do anything when you paste - you need to manually hit enter)
It works fine; you just have to know up front to not just click "yes" for everything during the sign-up process. Not a big deal for people who already know how GPG works, but the whole point of Keybase is to make it easier to use for people new to crypto, and that audience can't be expected to understand that the default settings are a terrible idea.
But their website works 100% and provides all the functionality if you don't let them host the private key (they give you an easy-to-inspect snippet to paste into your terminal that downloads/signs/uploads things for them. Note, it does do anything when you paste - you need to manually hit enter)
Not disagreeing with you - Just adding my 2c.