Home About Clifton Heights Clifton Heights is a dynamic neighborhood and home to over 6,000 residents and 100 businesses. Learn more. Events FC Cincinnati at Pittsburgh Riverhounds SC (Open Cup – 3rd Round)May 23University of Cincinnati Baseball vs University of ConnecticutMay 23 @ 12:30 pm - 3:30 pm EDT FC Cincinnati vs Louisville City FCMay 26 @ 7:30 pm - 9:30 pm EDT See Full Calendar. Contact Us Click here to contact us. Directory See the full list of Clifton Heights business on our business directory.