What to put on baby's chapped skin?

My 5 month old has gummed her thumb and forefinger so much that they are chapped and raw. Is there something I can put on the chapped skin? My pediatrician said bacitracin, but that I would have to wrap it to keep her from chewing it and ingesting the bacitracin. I wonder if there's something that would be safe for her to ingest.