Can I use Font Awesome Icons with the Classic Theme?

I just achieved this by uploading the Font Awesome directory as a static resource and referencing the main css file in any skuid page. Then you can use all the code you want like

First go here
http://fontawesome.io/get-started/
scroll down a little and click Download

Then create a new static resource called whatever you want, e.g. FontAwesomeSauce, upload the .zip file you just downloaded, and make it public.

Then in your skuid page, add a new CSS resource, type Static Resource, put in the name of your static resource. Then in the file path, paste this:
font-awesome/css/font-awesome.min.css
and wait until the auto-complete shows up and click the full file path

This examples page shows a few things you can do with fa icons, sizing, animation, rotation, etc.
http://fontawesome.io/examples/