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 K�ppen 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 0��F or ?17.8��C and 171.1 nights below 32��F or 0��C. 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 90��F or 32.2��C, but minima are generally not above 68��F or 20��C due to the altitude.