ls made only from 19667-1969 shared a very unique early CV carburetor that featured a rubber diaphragm. It has been cleaned. It is original right down to the intact,diaphragm whose top is held in by three shorter and one longer screw. Its large exterior spring is strong, it has its long cable guide. The slide moves easily.
The CL125 shop models shows it using any of the following main jets. 90, 92, 95, or 98. I have a 90 installed, but I am sending along brand new 92 and 95 just to help you tune your bike.