As much as I do really like the concept, and I'm a fan of grappling hooks and momentum based movement games, there were a couple things that kept me from enjoying it quite as much here:
1. I personally really didn't like the shooting. This might just be a me thing, but I remember hearing that the web shooting was intentionally based on momentum rather than going to exactly where your cursor was, and it might just be a skill issue, but it was a little weird for me to get the hang of. The most fun parts of the game for me were figuring out the correct routing to get a fast time and using the grappling hook, and this to me felt like unnecessary difficulty. Now this was by far my biggest gripe, and it was by no means a complete dealbreaker for me, but I do think just having the webs shoot at the cursor would make the game more fun to just pick up and play.
2. Now onto the much smaller details. The actual grappling hook movement had a little bit of clunkiness. I wonder if making the player character smaller and/or lighter would make it feel a little more responsive, but it really wasn't that big of a deal.
3. Having the main sprites and the background be different pixel resolutions felt a little weird to me. I think it would've been better if the walls and background were the same resolution, and adding parallax on the background could've given the game a higher level of immersion. (Remember that these last two points are most definitely nitpicks and not something to worry about).
Overall, this is a really cool entry. As I said earlier, I really like these kinds of movement games, and you guys mailed it with the star system (I think these kinds of games are perfect for the star system), and it was very reminiscent of older mobile and flash games (like that one motorcycle game I used to play on cool math games), to the point of being a little nostalgic. Great work!