I have found a glitch where if you start a run like normal but then at any point force quit the the game (Alt + f4) the character and the world aren't deleted. You can then start a single player game and use the same character and world and the dungeon will run like normal. Now every time you get to the final battle you can save and quit (you can do this at any point to restart the dungeon) and you will keep all your items but your dungeon progress will be reset!

I've had a bit of fun seeing what you can do with these trinkets in a regular world too, most of them work as expected! Have fun with your infinite loop dungeon!