This sounds like a riddle! The answer to this riddle is a panda. Pandas are known for their distinctive black and white coloration. They can climb trees very well and are surprisingly agile for their size. Pandas can run relatively fast, but they are not very good swimmers.
So, the answer to the riddle is a panda. It fits all the given descriptions - white and black in color, able to climb trees and run, but unable to swim.