I really like the climbing mechanic, it's simple but it add a lot to the gameplay and the way we explore the cave! I think you could have add some easter eggs in the dead ends of the cave to reward the player for exploring
There are some little problems in the game though : The spikes' hitbox is a bit to big and the character get glitchy when he arrive at the end of a climbing wall but it's normal for a jam game!
I really loved the little "light effect" that you made around the character and the final message of the game is really cute, GREAT JOB!