wear spandex undershorts under your running shit too, that really helps
band-aids on the nipples. I never had to though...
When I run, I sweat incredible amounts (even when I don't, I'm considered a 'sweater'). This causes my shirt to become drenched in sweat, and with the motion of up and down running, along with shoulder movement, my shirt goes up and down on my nipples. Since it's sweat and I'm running, it cools as I run, making my nipples hard. This up and down, wet fabric, on rock hard nipples = chafing on nipples.
Cliffs:
-I have to put band-aids on my nipples sometimes.
wear spandex undershorts under your running shit too, that really helps