With antiX, you have three choices: a core system, which starts you out very similarly to Debian Live (bootable version). Core doesn't have any application software at all; it simply includes a system kernel, a utility toolchest with a few conveniences to help you get started, no graphical user interface, just a command line interface, but with the tools provided, you can have a working system (if you are either quick or already familiar with antiX) in about fifteen minutes. In any case, you can most certainly have a solid system, ready to go, in under an hour. I have written a tutorial on it in the past, and it should be in the archives here.
I am using Debian Sid tonight, and it's an image that I put together, perhaps two years ago, using a Live image. I had the basics working in about the same amount of time. Even adding on some extras, I had at least a basic system in ten or fifteen minutes, a fairly functional system in under a half hour, and a fairly well customized system in under an hour. When I indicate those metrics, I was actually using that system as I continued to configure it; the same was true with my antiX core systems (I've built three of them in the past two years).
Check out my other articles; if you cannot find my tutorial or HOWTO on antiX core, drop me a note and I will provide you a link to the work.