We sing a very similar song to him almost every day

Our version goes.

🎵Spidey-cat, spidey-cat🎵

🎵does whatever a spidey-cat does🎵

🎵can he climb up a tree? 🎵

🎵if course he can, he's a cat🎵

🎵watch out! Spidey-cat! 🎵

I may start throwing in yours on occasion though, that's pretty good.