One option that works well and meets what you are looking for is get 2-3 inch painters tape. Put a piece on you waste board and matching piece on your project piece. Then use super glue on one side and super glue activator on the other tape. Put the two pieces together so the adhere to each other. The work piece wont move on the wasteboard and when you pry it up the tape will come off one piece or the other. Simply remove the tape from the opposite side and you are done. The super glue will hold the two pieces of tape tightly together but you can easily remove it from both pieces and throw the glued tape pieces away. It has worked very well for me when I needed this application.
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