The driver for this chip is in the Linux kernel module
asix. This module will handle a lot of USB vendor/product combinations as of the version in Ubuntu's
$ modinfo asix
description: ASIX AX8817X based USB 2.0 Ethernet Devices
author: David Hollis
However, I find some (old) bug stating it won't work out of the box in Debian. And, more importantly, if you need this in a Live environment, make sure it is one with one of these packages installed into.