OOOhhhhhh- lye turns your skin to soap literally- I would go to the doc or er- it should heal fine for a small one..
My man has had a few caustic burns- he used to work for a soap company and would haul barrels of lye- don't ask me how he got burned if it was in barrels but he told me it turns your skin to soap- he also said they just healed on their own- he would just run it under cold water for 20 minutes or so..