I have been lucky in that Smokey was not much of a tree climber when we had her but I always remember a cat we had as a family pet when I was a child, she was fond of climbing trees and it was the reason her first owner gave her up because she used to climb a tree and being the owner was older, it was too much for her to handle.
I remember once incident we had with Nala when she got herself so high up in a tree near where we lived, she couldn't get back down and my dad had to use a ladder and climb up to get her. I always remember my dad shouting to my mum "catch" and dropping her to my mum, claws came out and my mum's arm got scratched pretty badly. The tree was finally cut down and it never happened again.
Have you had a cat or do you have a cat that likes to climb trees? Have you had any issues with them climbing trees?