A magic lamp was a stock object featured in at least one popular panto, an ornate golden oil lamp that was secretly home to a genie who would be released if rubbed.
As a result, an old magic lamp prop was one of the props stored in the understage area of one theatre where the Thirteenth Doctor, Yasmin Khan and Dan Lewis came to see Cinderella. After the Doctor used a link from Spacebook in an effort to bring "the magic of pantomime" to the performance, the props and costumes were replaced with real versions, "snatched" from other places and realms. Most of them were antagonistic, but the Doctor managed to find the now-real magic lamp and rub it, summoning the genie within. (COMIC: It's Behind You!)