Clay Springs is a census-designated place in Navajo County, Arizona, United States. Clay Springs is 16 miles northwest of Show Low. Clay Springs has a post office with ZIP code 85923.According to the Kppen Climate Classification system, Clay Springs has a cool-summer Mediterranean climate, abbreviated Csb on climate maps. Winters are very cold at night and cool to cold during the day, with on average 3.7 nights below 0F or ?17.8C and 171.1 nights below 32F or 0C. April to June warms up and is generally the driest part of the year before monsoon storms hit between July and mid-September. Typically 17 days will hit 90F or 32.2C, but minima are generally not above 68F or 20C due to the altitude.