Wiggins attended North Lenoir High School in LaGrange, North Carolina. He played collegiately at Truett-McConnell College, Clemson University and Florida State University.
Wiggins averaged 23 points and nine rebounds per game during his two seasons at Florida State.
Wiggins was selected by the Indiana Pacers as the 23rd overall pick of the 1983 NBA draft. He never played for the Pacers, spending his rookie year playing in all 82 regular season games while averaging twelve points, four rebounds and two assists per game for the Chicago Bulls.
In the 1984 off-season, Wiggins signed with the Houston Rockets, fighting for a berth in the starting lineup with Lewis Lloyd. In late 1986, however, after the Rockets appeared in the 1986 NBA Finals, losing to the Boston Celtics, the pair tested positive for cocaine, incurring a two 1/2-year suspension from the league.
Both Wiggins and Lloyd were reinstated for the 1989–90 season, but the latter was soon released. Wiggins then enjoyed his best season in the NBA, appearing in 66 games and averaging 15.5 ppg; he was then also released. He played for the Philadelphia 76ers in the 1991–92 season, his last in the NBA. He scored 3,877 points in his NBA career.
Wiggins then went to Europe and had a notable career in the Greek League playing for Milon Nea Smyrni, Sporting Athens, and Panionios Nea Smyrni. He also appeared for CSP Limoges in the French League, the Tondeña 65 Rhummasters in the Philippine Basketball Association, and several minor league teams in the United States.
In the 2000s, Wiggins took a hand at coaching, in the lower leagues.
Wiggins played for the US national basketball team in the 1982 FIBA World Championship, winning the silver medal.
Wiggins' youngest son, Andrew, was regarded as a top prospect at 18 years of age for top-tier college basketball programs in the United States, and as of December 2012 was rated as the top prospect in the recruiting class of 2013. He was selected first overall in the 2014 NBA Draft by the Cleveland Cavaliers, making him the third Canadian player selected by the team in four years. He currently plays for the Minnesota Timberwolves. His oldest son, Mitchell Jr. played for Southeastern University and his middle son Nick Wiggins plays for the Idaho Stampede. Both Mitchell Jr. and Nick were drafted by the Harlem Globetrotters in 2014. He also has three daughters: Stephanie, Angelica, and Taya. His wife, Marita Payne-Wiggins, competed for Canada in track and field at the 1984 Summer Olympics, winning two silver medals. Since 2002, the family has resided in Vaughan, Ontario, Canada.