Anything that has to do with weather or other conditions related to climate is climatic. If you're worried about climatic effects on your skin, you are concerned about winter dryness, UV exposure and windburn.
The adjective climatic is perfect for describing anything related to a climate. You might read that climatic changes have led to shrinking glaciers and starving polar bears, just as your grandmother might talk every winter about the climatic difference from when she was a girl. Climatic comes from the word "climate," which in turn has its roots in the Latin word clima, meaning "region."