Chicago Heights IL Weather and Radar Map The Weather The climate for Chicago Heights can be fluctuating sometimes. Weather conditions can range between hazardous heat waves in the summer to extremely cold wintry that include heavy snowfall. It's always important to be ready for any climate conditions in Chicago Heights. Remain up-to-date about current weather forecast to prepare your activities accordingly and dress suitably. Keep safe and make the most of the varied weather experiences that are Chicago Heights has to offer.