I agree, it's a bit confusing how it's written, and I'm not even really sure what using lein would buy you when doing the koans. If anyone is interested in using lein, here's what you need to look at: https://github.com/functional-koans/lein-koan
Specifically:
git clone git@github.com:functional-koans/clojure-koans.git
cd clojure-koans
lein deps
lein koan run
Specifically: