Sharing game between devices?

Currenty the mobile versions on Android and iOS do not have a setting to save the game, nor to import a save game. If they did you would have to copy the text of the game save between switching devices. This seems impractical for what you want. If you were using this on a desktop and then using a mobile device you could use a remote desktop setup like chrome remote desktop or vnc.

But no, if you have the iOS or Android version, right now it doesn't run the same game on two devices at once.

Though, given that the steam client has a mobile version, it would be awesome if one day Steam Cloud support extended to mobile games.