A great from-scratch introduction is aphyr's Clojure from the ground up series
A more detailed online book is Clojure for the Brave and True
I'd also recommend digging through the book Clojure Programming - or others on the bookshelf when I've actually written it :)
There is a fair bit of useful background info at http://clojure.org as well.
You learn best from doing. Even if you read one of the above, you should start building stuff as well. The key things you'll need are:
Leiningen is the build tool for clojure; you can do stuff without it, by hand or via maven or the like, but generally leiningen is your best starting point. It will download all it's dependencies, including clojure itself.
If you want to play with simple apps, lein new myproj
will get you going. Have a look at the Leiningen tutorial for more.
If you want to play with web apps, take a look at compojure - lein new compojure myproj
will build you a very simple web app for experimentation.
You can get away with whatever editor you are comfortable with - as long as it can edit text files and browse directories, you will be able to get started - however there are many with integrated clojure support:
You can also learn a lot from repetitive exercises (commonly called "Koans") - these are a great way to become fluent in a language.
And remember to keep the Clojure cheat sheet handy - and refer to it often! This is your basic vocabulary of clojure verbs - you want to practice and learn most of them. More at the resources page.
The IRC channel #clojure on freenode is a great place to ask questions. You don't even need a client - the web chat seems to work pretty well.
Also the clojure google group is very active, and another great place to learn stuff.
And, of course, there are all the usual online resources - feel free to google for a problem, or look on Stack Overflow - and it can be educational to dig through trending repositories on github as well.