When my daughter had her ears pierced at our local mall, the ear piercing specialist recommended she get hypoallergenic earrings for sensitive ears. The specialist said earrings of this type are made with less nickel so the metal itself does not cause irritation. Nickel is often what causes problems with some piercings.
My wife thought this was a good idea. Her ears are sometimes irritated if she wears high content nickel earrings. Even swabbing the posts with rubbing alcohol does not help. She postpones wearing earrings until the irritation resolves itself. A simple solution is to pick the right kind of earrings in the first place.
There are a lot of styles available from some of the biggest retailers online such as Amazon.