Go climb a tree

What is the meaning of "Go climb the tree"?

It means "go away and stop bothering me." The person doesn't want someone to actually climb a tree.

"Go climb a tree" is like several other American expressions or idioms: Go jump in the lake. Take a flying leap. Take a long walk off a short pier. Go fly a kite. Go chase yourself. And here's a really old one -- Go to grass and eat hay.

They all mean "go away, leave me alone."