Currently, no, I prefer sticking to jQuery. DOM manipulation in browsers differ a lot and jQuery evens it out very nicely.
I probably will make a separate script just for without-jQuery in the future.
Basket.js is one of the projects that motivated me to start inscribe.js. Basket.js caches only scripts. But inscribe.js stores whole pages, along with assets individually. With that, it then renders the page from the localStorage.
It is meant to prefetch static pages, images, CSS files and JavaScripts. :)
Now it only works with static pages and images. CSS files and JavaScripts prefetching are not yet stable.