You need to do a clojurescript setup it can be done in the same project, develop a SPA, and consume your API.
To setup the clojurescript, with npm support and hot-reload stuff i recommend:
You will eventually need to generate HTML or serve static files. Case generate, I recommend hiccup.
Then you need a SPA framework. I recommend Fulcro, but re-frame is way simpler (or reagent for dead-simple react-equivalent)