Here is valuable information about iOS 8.4.1 jailbreak status for those who have already jailbroken their devices on either iOS 8.4, 8.3, 8.2 or 8.1.3 or plan to do it in the near future. With recently released iOS 8.4.1 firmware for supported iPhone, iPad and iPod touch devices Apple company has patched all exploits that were used in iOS 8.4 jailbreak. So the next information will be very useful for you.
During the beta stages of iOS 8.4.1, there were rumors flying around regarding TaiG jailbreak exploits being patched by Apple in the latest 8.4.1 launch. But now it is confirmed that eight exploits were really patched in iOS 8.4.1 used in TaiG jailbreak along with forty other security bugs.
While neither has TaiG or any of the prominent jailbreak developers have confirmed this till date, it is best to sit tight for now on older version of iOS and do not update to 8.4.1 until there’s any confirmation for it on jailbreak front. It’s better to be safe than sorry.
As per recent reports there is no officially approved jailbreak solution for iOS 8.4.1 running devices. But some sources say that unknown team has pushed iOS 8.4.1 jailbreak fake release, which can damage your computer.
Also there is another jailbreak solution, as Chinese team has successfully jailbroken iOS 8.4.1. They demonstrated it on an iPhone 6 at HackPwn2015 security conference. So you can download Pangu for iOS 8.4.1 jailbreak tool on your device.
Talking about iOS 8.4.1 jailbreak status with no further word from the team and also with iOS 9 just around the corner, it is probably safe to assume that there will likely not be another public jailbreak for iOS 8.x.
In conclusion, if you planned to jailbreak your device it is better to wait for the official solution, as any unproved jailbreak method can course your device to be damaged.