I would be worried she would pull them out and swallow them. Or rip through her lobe when she got older. She might be a tomboy and not even like earrings. My DD is 9 and we have been in the chair three times and she has chickened out. My Mom gets annoyed and says "You should force her when she is there", I don't see the big deal, when she really wants it she will get it. The New Parent Trap movie where they pierce her ears freaked her out.

She said they pierced them with a needle with thick thread and then put the earrings in later. Very strange these old customs when we think of them with todays perspective!
Only thing I figure is I am saving money as she is not clamoring for new earrings all the time.