I just came across with a solution for implementing TinyCon with WooCommerce. I use this super-easy, leightweight library to display cart quantity on the favicon.
You need to edit file footer.php in your theme, you find this in most cases:
What you need to add first is the TinyCon JS library. Download it from [Github].
Then you need to call this library and add the cart quantity to display it on the favicon. Add this code before the </body> tag.
My code with explanation: