Austin, I have the leader boards working now, thanks.
I deleted and downloaded your repackaged plugin. I added the Clay.io Ready event, but when I ran my app, the leader board still stayed in a loading state. On a whim, I removed the API key thinking if I got the same results, maybe there was something wrong with my setup on the Clay.io website.
When I ran the app the leader board loaded! I added the API key back and the leader boards still loaded. I saved the app and exited out of Construct2. When I got back in, and launched the app, the leader board still functioned. I was able to post scores and display them.
I'm not sure what the actual problem was. I hope this helps someone else out.