Does the player character have a canonical name? If not, I hereby name her Beatrice (Bee for short, of course)!
"I fear not the man who has solved 10,000 puzzles once, but I fear the man who has solved one puzzle 10,000 times." --Lruce Bee
Even if created levels can't be saved/shared, being able to test out game mechanics and object interactions without the restraints of the puzzle-world would be an awesome feature.