I think it means that some people can look at a deer's footprint and tell what time of day the footprint was made, and what the weather was when the footprint was made.
For example, a footprint made in wet ground might be deeper and less distinct than one made in dry ground, so someone might be able to look at it and say "It's dry now, but it was raining when the deer made the footprint."
How anyone could possibly tell the time of day when the footprint was made, I don't know, and I'm not sure I believe it.