I wasn't aware that Heroku currently supported anything other than Ruby or node.js, and after looking through their site I can't see anything about Clojure or the JVM either. Does it support JVM languages now?
I can assure you that this will take more than 10 minutes. Don't have a heroku account or the heroku app already? There goes 10 minutes right there. Using a system slightly different than their system? Add in a few more steps to get all the prerequisites figured out.