You are not supposed to get stuck in the ceiling, no. And to answer the question, yes the left click action will help you pass the puzzles that you had to go through earlier (one of the perks of getting the item. If you get stuck press 'r' that will respawn you, and you can continue without loosing anything. I will look into the issue of getting stuck, I have experienced it once or twice, but only when the FPS was low, so maybe I can fix it :)
Thanks