baby oil and corn husker's lotion. neither seem to work too well on lips. mine get really raw, so i dot on very small amounts of blistex lip balm if i'm desperate.
There is enough variation in the fact content of the food I eat (like the difference between chicken breast and ground beef) that I don't see how using something to keep lips from chapping is going to hurt me. I use Carmex periodically and haven't noticed any problems. I get cold sores if my lips get too chapped, so going without some kind of lip balm is not an option.
I have been putting a beeswax lip balm i got at the farmer's market from our honey lady. I know it also has cocnut butter in it, but I only use it once per day and my lips are very soft.
I would think a little coconut oil would be ok too. Make sure you are drinking enough water!