I actually did this using PuTTY on my schools network, in which, I have no administrator access, so there's no reason you can't get it working yourself.
This is going by the assumption that you're starting in the home directory(~), and have make already installed. If you don't, you'll want to google how to install make for your flavour of linux.
Version 354 was the last known version of BYOND to actually include a Dream Seeker, which means that your Dream Seeker is going to be massively out-dated. You'll also be very unlikely to find any join-able game, since your Dream Seeker will be from before BYOND 4.0, so you'll need to find a server that's being hosted on a version before then. So if you really want to play something in the terminal, you're going to have to make it yourself. If you do, tell me. I want to play.