Permanant eyeliner is considered a tattoo, and I don't know this for sure, but aren't tattoos a no-no during pregnancy?
I found the following on BabySource.com:
If you're considering permanent cosmetics, it's better to wait until after your baby is born, says Kristanne Matzek, PhD, of the American Institute of Permanent Color Technology in Tustin, California. "There's no data out there to indicate one way or the other [whether permanent cosmetics are safe]," says Dr. Matzek. "So our industry does not endorse [pregnant women having permanent makeup applied]." The good news is that permanent cosmetics are fine for new moms, even if you're breastfeeding, adds Dr. Matzek. So while you do have to wait, you don't have to wait long.