Requirements? Compatibility with Woocommerce, Themes, latest PHP and WP?

On Woo, yes: see https://zencache.com/kb-article/is-zencache-compatible-with-e-commerce-plugins-such-as-woocommerce/

On PHP, yes: see https://zencache.com/faqs/

On WP 4.4.1, yes. I’m using it!

So that just leaves your theme. Since that’s a paid theme, there’s no way for the devs to test it. But ZenCache works with most things out of the box and, if not, it can usually be configured to work. So just give it a whirl!