The update was quickly pulled, Apple warned users to not install the update, and even posted a downgrading guide, but the damage was done. Apple worked quickly though, and has a new iOS 8.0.2 update to fix the issues caused by the 8.0.1 troublemaker. And, for those who didn't update to 8.0.1, the new update includes all of the same bug fixes that could be found in the original, including fixes to HealthKit, 3rd party keyboards, and much more.
So far, the troubles do seem to be fixed with the new iOS 8.0.2 update, meaning it may be safe to install the new software. But, we wouldn't blame anyone for waiting a bit just to make sure there aren't any other problems waiting in the wings.