Clips are great for protecting cards, but Porper clips are not so great for protecting deck boxes. Even with E's steel customized deck clips, I found I had to remove ad cards to make the new White Arcanes fit - I guess Performance Coating is thicker than the old finish.
To remove the stuck deck, gently try to pull out and down from the top or up and out from the bottom. If that fails, see if you have enough wiggle room between the deck and the spine of the clip to wedge in a precision screwdriver and use it like a pry bar to extract the box and cards.
For the future, don't use deck clips for rare and hard-to-find decks that you want to preserve. I only use them for stuff that I have in multiples and isn't rare, like Bike Masters, plain Bikes, DBlaine magic decks, Arcanes, USPC Guardians and the like. For your better decks, buy one of those deck boxes that flip open and have a lid. Some of those come equipped with a belt loop or clip to attach to you without taking up pocket space. Most old-school magic shops sell them, such as Tannen's, from which you can order online as well as buy in person at the Manhattan shop.
Good luck and may the gods of magic protect your Fuschias.