To elaborate, the ArchiveTeam distributes a very simple-to-use virtual machine image that you can run. When you do so, your machine will help download and collect from disappearing websites. I don't think they've got scripts for justin.tv yet, but it sounds like they are going to, so now would be a good time to get your VM ready.
It's easy, and the more people who run the machine, the more power the ArchiveTeam has at their disposal. I encourage everyone to give it a look.
I downloaded the VM today and spent a fair while trying to diagnose a CheckIP error. It turns out, after going on the IRC channel that none of the projects on the VM are up to date and hence the VM can't be used to help the project. Hence the error.
If I see the website update to mention justin.tv I'll certainly fire it up. But it seems a shame that there is nothing I can do to help with their project as a whole; I couldn't even see any way to donate - I guess I should just donate to archive.org.
It's worth noting that you don't have to use a virtual machine. If you're familiar with compiling basic utilities and installing Python packages, then you can run it without the overhead of a virtual machine. It's generally all on the wiki/Github.
Right, the idea is that justin.tv could be formatted as a new project for the ArchiveTeam Warrior -- which you can run on your laptop or a VM or a cloud server or a few Amazon instances, or whatever. But with only a week's notice before the shutdown, I don't know whether they can get the customized scripts up and running in time. They're working on extracting a list of user and video id's right now.
It's easy, and the more people who run the machine, the more power the ArchiveTeam has at their disposal. I encourage everyone to give it a look.
You can get the virtual machine here: http://tracker.archiveteam.org/