You can install and keep playing from when you left off :) If your save gets a "rollback" error when loading, that means you saved in a location that has since had a major rewrite. In that case, try a different save or click the "A" at the bottom of the screen, to the left of the page numbers, to access your autosaves - they're always safe!
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If you're on Windows, Mac or Linux:
Just download the new update, extract it to a fresh folder (ie. don't overwrite your existing game folder) and play!
If you're on Android:
DO NOT DELETE THE GAME! (Or you will lose all your saves). Download the apk and install it as normal (when your device asks if you want to update, say yes).
That's it :)