At a high altitude, the air becomes very thin and dry, so it is a good idea to bring vaseline when climbing Kilimanjaro. On top of that, it can also become freezingly cold. As a result, your skin will quickly become very dry very.
A thick nourishing cream like Vaseline will keep the moisture in your skin and lips. You can also use it in and around your nose to soothe it when your skin hurts from wiping your running nose.