As of Statamic 3.4.8, Livewire works with Statamic's Half and Full Measure static caching without any additional configuration. This is due to the concept of replacers, which takes care of replacing Livewire's CSRF token.
There is a catch, though. On the first page load, Statamic will cache the first render of the Livewire component. This can be an issue with components that display dynamic content like entries in random order. In this example, the order won't be random on subsequent page loads, but will always show in the order that it was first cached in.
If your component simply shows the latest articles in descending order, and you clear the cache whenever an entry is saved, you don't have to worry about this, though.