You can turn off the clock and it will stop it from registering touches there. This happened in my wife's Durango a couple of months ago. Very annoying for sure. If you are handy with electronics, you can fix this for about $50. If you are ok with them, $500, if you don't want to touch it, look for $1000-$1500 from the dealer.
If you want to go the $50 route it is what I did. You remove the screen from the dash and disassemble it taking out the screen module. You break this down further until you are left with just the LCD screen and the digitizer. Using fishing wire and a hair dryer or heat gun, carefully saw through the glue holding the two together.
After you have separated them you will likely be very sticky but you will also have a ton of glue left on the LCD screen. Alcohol, a few razor blades, and paper towels are your friend here. Use the alcohol to soften the glue and holding the razor at an angle to the screen use it to scrape off the glue. Continue this until the screen is perfectly clean. Cleaning solutions may be used for a final buff on the screen. You don't want to leave anything on it.
You can try and clean and reuse the existing digitizer but they can be fragile and it is going to be coated in glue as well. A replacement digitizer can be sourced through eBay or similar. The replacement digitizer is held in place using 3m double sided mounting tape. The unit I ordered already had the tape in place. Assemble the unit like you took it apart careful not to get fingerprints between the screen and digitizer. That's it, $50 and you are back up and running.