Kurt Harriger documents his process of creating a Clojure web application called Twitturl to search Twitter. He initializes the project using Leiningen, sets up dependencies like Ring and hiccup, defines functions for searching Twitter and formatting the results, and implements a handler to return the search results. He runs the application using the Ring server and packages it as a WAR file to deploy on services like Amazon Elastic Beanstalk. The document highlights features of Clojure like S-expressions, destructuring, and chaining that make the code more concise compared to Java.