How do you organize your framer code within framer studio? I would really like to break stuff into components in separate files etc. Any thoughts?
You can't right now but framer team working on that!
You could use modules http://framerjs.com/docs/#modules.modules. For example https://github.com/k-vyn/framer-material-kit
I create many of my UI components as individual modules. Each component is built as a class, and has its own methods to do things, events that fire when things happen, and has readable properties. When my modules are imported, I can snap the components together in a relatively brief app.coffee file that ties everything together (do X when component Y fires event Z), and each of my modules has compartmentalized logic that handles their own concerns.
That's the best it gets right now. I'll try to do a tutorial on this sometime soon.