I don't know that I have ever seen monkey puzzle. However, sycamore
is one of my favorite turning woods.

It is moderately hard, and doesn't have much problem with tear out.
Easy on the tools.

The only warning I would give is that when it is a bit too green it
will split and warp overnight if you don't bag it in plastic.

The best part is that no matter what the orientation of the piece is
on the lathe, you will get some great grain patterns.

Robert