Moncrief's leadership on the court and electrifying play renewed interest in the Razorback program, and ushered in a new winning tradition in Arkansas basketball.

In the final game of his rookie season, Moncrief scored 13 points, grabbed 7 rebounds, and recorded 7 assists in 107–91 victory over the Utah Jazz.

[8] During the 1980-81 NBA season, Moncrief helped the Bucks to a 60–22 record, third best in the league, while averaging 14 points, 5.1 rebounds and 3.3 assists.

[13] On February 24, 1983, Moncrief scored a career-high 42 points, recorded 8 assists, and grabbed 8 rebounds in a 114–103 victory against the Houston Rockets.

[16] The following round, on May 14, 1983, Moncrief scored 19 points, grabbed 10 rebounds, and recorded 4 steals in a Game 3 loss against the eventual champion 76ers.

On November 30, 1983, Moncrief scored 25 points and blocked a career-high 4 shots in a 139–122 victory against former Bucks player Alex English and the Denver Nuggets.

A win in which The Bucks were without Coach Don Nelson, Mike Dunleavy Sr, and Charles Davis, who all suffered neck and back injuries the previous Saturday night at a Baltimore airport.

[21] On March 15, 1986, Moncrief played 48 minutes, the entire game, and scored 27 points along with recording a career-high 12 assists in a 125–116 regular season victory against Michael Jordan and the Chicago Bulls.

[25] During the 1987 NBA Playoffs, after advancing past the 76ers in the first round, on May 15, 1987, Moncrief scored a playoff-career high of 34 points in a Game 6 win against the Boston Celtics in the Eastern Conference Semifinals.

[26] On May 24, it was announced Moncrief and teammates Jack Sikma, Randy Breuer, Paul Mokeski, Terry Cummings, and Jerry Reynolds would each be fined between $1,000 and $500 for their roles in an altercation in the game.

[28] On December 23, 1988, by then frequently missing games due to knee and foot injuries, Moncrief scored 25 points, largely thanks to making 13 of 13 free throw attempts, and added 5 assists in a 113–101 victory against the Dallas Mavericks.

[29] Moncrief would retire for the first time at the conclusion of that year's postseason, an Eastern Semifinals loss to the eventual champion Detroit Pistons.

4 jersey in 1990, and rededicated it at halftime on January 19, 2008, when the Warriors, with whom he was a shooting coach, visited the Bradley Center in Milwaukee, Wisconsin to play the Bucks.

[33] During the 1980s, Moncrief was the leader of the Milwaukee Bucks, who had the third best winning percentage for the decade behind only the Los Angeles Lakers and Boston Celtics.

[41] Moncrief's son Brett was a wide receiver for Mississippi Gulf Coast Community College and Troy University.

[42][43][44] His nephew Albrey Battle played eight seasons in the Arena Football League and for the San Francisco Demons of the XFL.

Looking back on his career in March 2021, Moncrief said "I have a greater appreciation for the accomplishments and the awards [now] then when I played the game of basketball.