Shinsplits can sometimes just be a case of getting used to the impact of running and they may go away by themselves if you're lucky as your legs strengthen.
However, if your shinsplints are indicative of mechanical problems then they are unlikely to go away by themselves, may get worse and probably come back after resting.
You have to find out what's causing them.
Stitches... you may be running too fast.
Cramps... you could be dehydrated.
Edited: 25/10/2008 at 00:08