A XP lamp (tier 7) is an item obtained during the Broken Home quest. It is the seventh lamp obtained in the quest, located in a chest found below the basement. Follow the path after the room with the Receptionist's desk (north or east door). In the first room with cells, the chest is in the north-eastern cell. It cannot be obtained on the first playthrough, and requires at least level 70 in each skill. Unlike other items, it can be taken out of the mansion. However, it cannot be banked. Rubbing it gives 48,000 XP in a skill of your choice.