If its any help, I have perfect skin and the most irregular cycle in the world. Anything between 5 weeks and, well, several years.....
I had LOADS of tests and investigations done when I was younger, & they couldn't find any reason, so concluded I just didn't ovulate, which of course, ensured my infertitlity. 4 babies later they have decided - and this was an official diagnosis from a gynae consultant - that I am "just lucky"

I have bad PMT and terrible pregnancies mood-wise, but no skin issues at all.