The iPhone Dev Team released a jailbreak for iOS 5.0.1 on Tuesday that does away with the need to connect your iPhone, iPad or iPod touch to your computer every time you reboot the mobile device.
Jailbreaking is a process where users hack their iOS device so third party apps that aren’t available through Apple’s App Store can be installed.
Untethered jailbreak for iOS 5.0.1

The iPhone Dev Team released a jailbreak for iOS 5.0.1 on Tuesday that does away with the need to connect your iPhone, iPad or iPod touch to your computer every time you reboot the mobile device.
Jailbreaking is a process where users hack their iOS device so third party apps that aren’t available through Apple’s App Store can be installed.

Untethered jailbreak for iOS 5.0.1