iOS hacker and jailbreak wiz Winocm, who is currently working to jailbreak iOS 6.1.3 as well as 6.1.4 has given a "definite ETA" on making his efforts a tangible success "before 2014." Thus, it would seem that he is indeed making strides, and although many iPhone, iPad and iPod touch users are currently waiting and hoping for news on a possible iOS 7 jailbreak, this is certainly a good day for the jailbreak scene in general.
Developer Winocm has successfully managed to jailbreak iOS 6.1.4 on both CDMA and GSM version of iPhone 5. Details as usual are scarce at this very moment, it is highly recommended that you ignore any update at this point for your iOS device and wait for further confirmation on the progress being made on this untethered jailbreak for 6.1.4.