The gameplay definitely has fun elements. It feels good when you get swinging, but the issue is, you rarely get swinging enough for it to be satisfying. The only times I got real momentum were going sideways while grappling. It seems like that really gives you a speed boost, and using that I was able to soar above the map in some places. By grappling far above you, you can go from a dead hang to your grapple line being totally horizontal. This makes an easy way to gain height.
Judging from existing games, I think the swinging would feel more satisfying if your character was affected more heavily by gravity. When you fall faster, you have more potential to turn downward movement into forward or upward movement. Also, increasing the gravity would help prevent you from gaining height when it doesn't feel legitimate as described earlier.
If you're looking to make the side swinging parts more fun, instead of gaining a lot of speed from moving to the side, look into adding a sprint or similar mechanic so you can gain speed before leaving the ground.
I like the bounce pads quite a bit, and they could add some very fun and interesting bits to levels, but the mechanics of them are pretty wonky as is. I found it difficult to just get across the first segment with the tilted bounce pads; maybe look into the physics there.
Overall, I like what you have and would be excited to play around with where you take it from here. If you haven't already, check out A Story About My Uncle. It's a fantastic game that isn't too long, and really explores mechanics that seem pretty close to what you're trying to emulate. Best of luck!