It appears as if some users were using a workaround to have success with jailbreaking; it consisted of hex-editing the executable file for evasi0n7, but the new update makes the jailbreak possible with just a single click of a button.
So if you, or any of your peer, owns an iPhone running iOS 7.0 build 11A466, use evasi0n7 1.0.8 for the jailbreak.
For the new iOS 7.1 firmware, there is no jailbreak available, and there’s no word on jailbreaking teams working on one, so far.
Here's the download links:
Video guide for evasion7