Chaunsey \cha(un)-sey\ as a boy's name is a variant of Chauncey (Middle English). See for meaning of Chaunsey.
The baby name Chaunsey sounds like Chaunsy, Chauncy, Chaunce, Chanse, Chawncey and Chancey. Other similar baby names are Chaney, Phauns, Chance, Choncey, Chanze, Cheney, Chany, Chaniel, Channe, Chase, Chayse, Chayne, Chane, Shandey, Shanley, Shannley and Shawney.