I have a USB 3.0 AX88179 based Gigabit Ethernet adapter and after searching online, I found many people reporting success with this device under Linux. The driver entered the mainline kernel on version 3.9, but even before that, downloading the drivers from the the ASIX websites, compiling and loading the driver manually should work fine. Unfortunately this is not the case for me on Ubuntu 12.10 and 13.04 on a Dell XPS 13 Developer Edition.