The only irregularity I have experienced since starting Iodine is that last month I had 2 periods instead of one. About 2 weeks apart. This has never happened to me before.
For the record, I started Iodine supplementation in mid April.
I would also add that the last period (the extra bonus one?) included lots of little clots and the color was off a bit.
Other than that, I have had no other indications of menopause. I'm 46.