I think by some definitions this qualifies as a high rise. There is a zoning application up to tear down the existing 2 story brick building at 1229 W Randolph (& Willard Ct) and build a 7 story, 120 foot tall building in place with ground floor retail/commercial and office above. The developer is Thor Equities (NYC). Previous plans were to renovate the building and put something like a rooftop there. It looks like they're going a bit bolder now. This site is basically across the street from Alhambra Palace. The scanned in zoning app is black and white but it appears that the facade would be dark gray brick.
https://www.google.com/maps/@41.8841...7i16384!8i8192