In his first Congressional election, Andrews defeated former Congressman Dave Emery in the race to succeed Democrat Joe Brennan. In his only reelection Andrews soundly defeated Linda Bean, a descendant of L. L. Bean.
In 1994 he did not run for reelection to the House but declared his candidacy for the U.S. Senate seat being vacated by retiring Democrat George J. Mitchell. Andrews lost the Senate election to his 2nd District colleague, Republican Olympia Snowe.
Andrews is now the leader of Win Without War