Operating Hours & Seasons - Gila Cliff Dwellings National Monument (U.S. National Park Service) The trail to the Gila Cliff Dwellings is open to the public from 9 am to 5 pm. The last visitors are allowed into the Monument at 4 pm; and everyone must be off the trail and out of the Monument by 5 pm. The visitor center is open from 8 am to 4:30 pm.