Replays
Games you host are recorded automatically and saved when the session ends. Open Replays from the main menu to see your recordings, newest first, with the map, date and size. From there you can refresh the list, open the folder they are saved in, or delete them. A recording made by an older version of the game is shown greyed out.
Watching a recording with a free camera is not available yet; for now the Kill cam is the replay you see in game.