If you bought the game directly, you can re-download the final build from your unique Humble Store link. Mobile (Android/iOS):
Updates are managed through Google Play or the App Store. Version 1.2 and above included performance improvements and reduced battery usage. Download Little Inferno v1.3.Hotfix
The Steam version automatically updates to the most recent build (currently v2.0 or higher depending on the platform). If you bought the game directly, you can