Likely a modern combination of Chandler and Winston
Chanston is a contemporary American invention, likely created by blending the occupational surname Chandler with the classic English surname Winston. It follows the popular trend of adding the '-ston' suffix to familiar prefixes to create a unique, surname-style given name. Because it is a modern coinage, it lacks a singular historical etymology.
Less common today
Chanston isn't in the latest US Top 1000. It last peaked at #7,528 in 2002.
US births per 5-year period, 1990βpresent (SSA data).