Version on the title screen claims to be "0.11.1 alpha".

It is not possible to choose a "custom" skin on the Amazon Fire TV. The option can highlighted, it changes to the word "Browse" but cannot be selected. It is therefore only currently possible to choose Alex, Steve or the City/Town folk skins.

Even when a skin was "side loaded" to:

~/games/com.mojang/minecraftpe/custom.png

The skin was rendered but could not be selected.