Interesting concept, but it doesn't really feel like the character and core are connected while you play. maybe the cord that connects them could have a specific length, and your character can't move further away from the core than that.
Other than that i'd say it needs just a tiny bit more attention to the little things (stuff like not having quite enough space to land safely behind the core on the first level)
I saw it was your first jam entry, great job on getting it in! You've finished more jam games than I ever have. Loved the art for the character and core, they were cute :)