Is separation anxiety more intense with breastfed babies? My daughter is so clingy!

My daughter wasn't breastfed but my son was... and both had separation anxiety which were equally horrible! It's worst especially if we are in someone else's home and they will cling onto me as if I will let them go. My son lately as started pulling my hair the moment he senses that I'm about to pass him over to my mum before I leave for work. It'a such a mini drama every morning but like what Stephanie said, it's a phase. With my elder girl, it was probably for almost 2 months.