William Hubbs Rehnquist ( October 1 , 1924 â `` September 3 , 2005 ) was an American lawyer , jurist , and a political figure who served as an Associate Justice on the Supreme Court of the United States and later as the Chief Justice of the United States . William Hubbs Rehnquist ( October 1 , 1924 â `` September 3 , 2005 ) was an American lawyer , jurist , and political figure who served as an Associate Justice on the Supreme Court of the United States and later as the 16th Chief Justice of the United States .