So the caveat I'll throw in is that I've only done Paleo for a month now, and so am just experiencing my first period post-paleo. But, I have noticed two things:
No zits! I always get a zit or two prior to my period, and realized this time, none appeared.
And the other thing, that I didn't even realize was a period thing until the last year or two, finally talking with my female friends about this. In the first day or two of my period I will get struck with an instance of REALLY needing to go to the bathroom (#2). Apparently, there is something hormonal that occurs with your digestive tract, that causes a strong need for elimination, shall we say? Funny that no one ever talks about this aspect of the cycle.
Anyway, didn't have that occur this time.
TMI, certainly, but hey, that's the human body for you!