In 1968 he toured with Woody Herman orchestra, settling in Europe where he remained until 1977. He taught at Harvard, artist-in-residence in 1981, the University of Massachusetts, De Paul University in Chicago, and Indiana State University. During this period he led his own nine-trombone, three-rhythm band, World of Trombones, co-led Continuum (a quintet with Jimmy Heath that plays the music of Tadd Dameron), freelanced as both a writer and a player. He also appeared on The Cosby Show 1986. The episode entitled "Play It Again, Russell". Hampton also played the trombone in Diana Ross Live! The Lady Sings... Jazz & Blues: Stolen Moments (1992) DVD.
On June 4, 2006, Hampton promoted his first concert at The Tribeca PAC in New York (a tribute to Antonio Carlos Jobim) and debuted the Hampton Ultra Big Band. The concert was the first of many planned for the near future.
Hampton is a resident of North New Jersey. He is the uncle of Chicago jazz trumpeter Pharez Whitted.
2009 saw the completion of four new compositions entitled "A Tribute to African-American Greatness". The songs honored Nelson Mandela, Oprah Winfrey, Tiger Woods, Venus Williams, Serena Williams and Barack Obama. The songs contained accompanying lyrics written by Hampton and Tony Charles, arrangements honoring Thelonious Monk, Thad Jones, Eddie Harris, Dexter Gordon and Gil Evans round out the program. The album will be recorded in 2010. He recently completed two new Big Band arrangements - "In Case of Emergency" and "The Drum Song" (both Hampton originals). These two songs (and others) will be available exclusively to universities and other educational institutions through Slide Hampton Musique Publishing.