Yeah, pressing custom open a screen with all custom games created (you can join others ones too).
Pressing the circled number (not the best position) bring you to YOUR async games.
Gold means your turn.
Green means you can start the game, everyone has pressed ready.
Blue mean you are waiting for someone to accept.
Gray are past completed games (they are stored till end of current month).
You can replay whole games, turn by turn.
Said that, even with some part of the UI being clucnky, I played on both devices around 15 async games (and many more offline skirmishes against A.I.).
All chaos mode.
Yup...this game is awesome and I can see it becoming my fav async game.
If they update the game with device sync and native notifications....well....