LG announced its first OLED monitor, the 4K 31.5" UltraFine OLED Pro (32EP950) back in January 2021. The monitor should start shipping by the end of July 2021 for $3,999 - and now the first review is in, by BH Photo.
The reviewer says that this new display is "astonishing" and "immersive" - but admittingly there are some trade offs (compared to other top-end monitors): lower peak brightness, non-variable refresh rate, connector choices, etc. The review says that the 32EP950 is "truly made for professionals" and will be a best fit for graphic design, image and video editing, and broadcast grading. This is not a general-use monitor, especially at that price tag.