Cool game! The colors were nice and the art was cute! I think the grapple (?) didn't feel right at all, although it didn't feel that bad once you get the hang of it. I think if the mechanics were redesigned to closer to what actually came out, instead of it trying to be a grapple. It almost feels like there's a responsibility to include elements from other games, like the grapple, for example the coins which serve no purpose and the live system, which doesn't make sense since there aren't checkpoints, it just means you have to die and restart a specific amount of times before you get to start the timer again. I think the game was at it's best, and was pretty fun, when you were just swinging around from platform to platform, so the levels should have been designed around that a bit more.
I'm going to rapid fire a lot of feedback. These are mostly just nitpicks because I see some things that I think could just be made a little bit better. I couldn't help but notice that the UI isn't set to scale at all. It appears your using Unity and my 1920x1080 resolution seemed to be correct, so in your canvases in Unity go to the canvas scaler component and select 'scale with screen size' then type the desired resolution. The music got a little bit annoying after a bit, which I think was partially due to it resetting between scenes. (To keep an object between scenes in Unity use the DontDestroyOnLoad function). I would have appreciated more options for keys, for example W or Up arrow to jump, since those keys are underused and having more choice in terms of keybinds is generally better. Finally, a few bugs I noticed was that if you die on your last life you can continue moving, and if you pause in the main menu the game just freezes.
I did genuinely enjoy this game, I know I gave a lot of criticism but I thought it was a good game just a few steps away from being a great game (and wanted to help outline those steps). Nicely done!