Chaunce is an uncommon first name for males. Chaunce is an equivalently rare last name too for all people. (2000 U.S. Demographics)
Which version is better?
with its source forms and related boy names. Popular alternative forms of Chaunce (outside Top 2000) are Chance(#250 via latest list), Chancellor(#1773), Chauncy, Chauncey, Chanse and Chantz. Usage of these relations of Chaunce was widespread 2 decades ago (median #1364) and is somewhat less today (#1670, ▼40%), with the version Chauncey falling out of fashion. (Top 2000 Names, 2015)