Home About Clifton Heights Clifton Heights is a dynamic neighborhood and home to over 6,000 residents and 100 businesses. Learn more. Events University of Cincinnati Baseball vs University of ConnecticutApril 20 @ 6:00 pm - 9:00 pm EDT FC Cincinnati vs Pittsburgh RiverhoundsApril 21 @ 7:00 pm - 9:00 pm EDT University of Cincinnati Baseball vs University of ConnecticutApril 21 @ 4:00 pm - 7:00 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.