Basic Dungeon Crawling is about 30% in now. You can traverse hallways forwards and backwards, have encounters, run into obstacles/traps/loot/puzzles, and enter and exit rooms that can have their own events, encounters, and whatnots.

There's no way to exit a dungeon presently. The Objectives for the Dungeon are also not being evaluated just yet. It's a one way ticket to 'eternal survival mode'.