Interesting concept! I like the jiggly stuff :) The mix of pixel art and physics based animation gives the visual atmosphere of your game a very nice flavor.
I've played the WebGL version and first I had a similar experience as @nidup mentioned. I didn't know I was supposed to use the mouse to drag stuff, so first I pressed different buttons, and E made more bridges to appear, which made the puzzle unsolvable. Then I restarted and figured it out. I think it would be worth solving so people don't get stuck too early.
Also the character controls are a little bit slidy, that makes the platformer part pretty hard.
Do you plan to keep going with this game? I think it would be worth it, and in my opinion it would be a good idea to think about what kind of experience you want to focus on. Maybe building up on the puzzles, and simplify the action in-between would give a more consistent gameplay experience to the player? Right now it feels a bit frustrating to me, because it is at the same time a puzzle game (slow paced, rewarding progression, curiosity for what's coming next) and the aggressive fast action moments are interrupting me in this experience. You could for instance make it more like exploring around. Plus choosing one particular aspect would allow you to spend more time for polishing rather than developing too many different things. But that's just one idea and I'm sure there are tons of possibilities.
Anyway, that's a really good start, congrats! Good luck for the future!