In 1986, Edmunson served as a city council member in Weiser, Idaho, until 1994.[4]
In 1994, Edmunson became a teacher and a football coach.[2] In 1996, Edmunson became a county commissioner of Washington County, Idaho.[4]
On November 5, 2002, Edmunson won the election and became a Republican member of Idaho House of Representatives for District 9 seat B. Edmunson defeated Caryl A. Whitlatch with 79.8% of the votes.[5] On November 2, 2004, as an incumbent, Edmunson won the election unopposed and continued serving District 9 seat B.[6] On November 7, 2006, as an incumbent, Edmunson won the election unopposed and continued serving District 9 seat B.[7]
In August 2007, Edmunson resigned as a member of Idaho House of Representatives for District 9 seat B. Edmunson later joined the staff of Idaho governor Butch Otter as a field representatives.[8][9] In September 2009, Edmunson joined Idaho Department of Labor.[10]
Edmunson later became a teacher at New Plymouth High School. In 2015, after Kevin Barker accepted a position as the superintendent, Edmunson became a principal at New Plymouth High School. In 2018, Edmunson resigned as principal at New Plymouth High School.[2][11][12]
In July 2018, Edmunson became a superintendent and school principal for Council School District.[1]
Clete Edmunson resigned from the Council School District with 2 years remaining on his contract. The Council School Board accepted his resignation at their regular meeting on June 26.