Apple released iOS 8.4.1 (build number: 12H321) for public, which includes several bug fixes and improvements for Apple Music. Apple iOS 8.4.1 update patches the vulnerabilities used by TaiG jailbreak and PP Jailbreak which they used for Jailbreak iOS 8.4 – iOS 8.1.3 running iOS devices. So it is best to sit tight for now on iOS 8.4 or lower version of iOS and DO NOT update to 8.4.1 until there’s any confirmation for jailbreak iOS 8.4.1 update.
Apple has patched eight exploits in iOS 8.4.1 update used by TaiG for Jailbreak iOS 8.4 – iOS 8.1.3 along with 40 other security bugs. Apple also credited the TaiG jailbreak team for finding the exploits in iOS 8.4, from which Apple then patched them on iOS 8.4.1 and upcoming versions
Existing jailbroken users may also want to install Cydia Impactor which basically lets a jailbroken device to un-jailbreak and return to stock iOS state without having to restore using iTunes. You can find our Cydia Impactor tutorials on here: How to remove Jailbreak without updating iOS using Cydia Impactor install