Thanks to Leiningen[1], getting started with Clojure is super simple.
It doesn't get much easier than pulling down the master `lein` script (or `lein.bat` for Windows) with wget/curl and setting it up on your PATH as an executable. This is similar to rvm[2], nvm[3], perlbrew[4], et al.
You'll need to have Java installed before proceeding to the next step.
Once you've done that, you can run `lein repl` in your shell -- Leiningen will bootstrap itself when it's run for the first time, and when it's done you'll be presented with a Clojure REPL. Now you're ready to start exploring and learning:
http://clojure.github.com/clojure/
http://clojuredocs.org/
http://clojure-doc.org/
Also, please join the friendly community in #clojure on irc.freenode.net[5]. You'll find folks in there nearly 24/7 who are willing to answer questions you may have as you learn your way around. The discussion group[6] is also a great resource.
[1] http://leiningen.org/#install
[2] https://rvm.io/
[3] https://github.com/creationix/nvm
[4] http://perlbrew.pl/
[5] http://webchat.freenode.net/?channels=clojure
[6] http://groups.google.com/group/clojure