I live in an area where sunburn is pretty darn common (103F today and not a cloud in the sky) and I dont carry anything for sunburn in my pocket kit. I would use mud if necessary. In a slightly larger kit I think its justified though (atleast in Texas at this time of year) and I think the chapstick is a great alternative to the sunblock sticks I have been using in the past. When I was talking about chapstick and sunblock sticks in the other reply, I was thinking along the lines of lightweight backpacking or larger kits... not a pocket kit. I apologize for not being clear on that before.
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Learn to improvise everything.