The Lite version is now available on the iOS, located here..
Taken from the app store
This is the Lite version of Minecraft - Pocket Edition. Minecraft - Pocket Edition allows you to build on the go. Use blocks to create masterpieces as you travel, hangout with friends, sit at the park, the possibilities are endless. Move beyond the limits of your computer and play Minecraft everywhere you go.
Limitations of the Lite version
* The world is not saved between sessions
* Multiplayer worlds can not be copied to your phone
* Only 18 of the 36 different blocks are available