[5] Rumble turned professional with the Hershey Bears, the American Hockey League (AHL) affiliate of the Flyers in 1989–90.

He played three seasons with the Bears[6] Rumble was recalled by Philadelphia on November 26, 1990 along with Scott Sandelin after defenceman Jeff Chychrun suffered a broken wrist.

[8] In the next game on November 29, a 5–5 tie with the New Jersey Devils, Rumble scored on goaltender Sean Burke for his first NHL goal and point.

[6] The Flyers chose to leave Rumble unprotected in the 1992 NHL expansion draft on June 18, 1992 and he was selected by the Ottawa Senators.

[12] Rumble made the Senators out of training camp and played in the team's first ever win in the 1992–93 season, a 5–2 victory over the Montreal Canadiens on October 8, 1992, assisting on Sylvain Turgeon's game-winning goal.

[14][15] Among those considered a future cornerstone, Rumble showed the greatest promise throughout the rough first season,[16] and was re-signed by the Senators in September 1993.

[20] Prince Edward Island won the Atlantic Division and the team were eliminated in the second round of the Calder Cup playoffs.

Rumble was recalled on November 2, 1995[21] and made his Flyers season debut that night in a 2–1 loss to the Florida Panthers.

[2] He returned to North America and signed with the San Antonio Dragons of the International Hockey League (IHL).

[27] In the offseason, Rumble was sent by the Dragons as future considerations to the Grand Rapids Griffins to complete a previous trade.

[33] Rumble was suspended for two games for an illegal hit on forward Mark Smith in a 7–2 victory over the San Jose Sharks on February 26.

[44] Rumble returned to Springfield the following season, but played only ten games[14] before announcing his retirement as a player and his new job as an assistant coach of the team on December 18, 2004.

In 2006, he was temporarily promoted to assistant coach of the Tampa Bay Lightning under John Tortorella while Craig Ramsey recovered from cancer.

He spent two years in the WHL until July 2013, when he was named head coach of the Moncton Wildcats of the QMJHL.

[50] However, it was announced on January 22 that he was hired as an assistant coach of the Saginaw Spirit of the OHL for the remainder of the season.

[52] Rumble returned to the QMJHL, joining the Shawinigan Cataractes as an assistant coach under Gordie Dwyer for the 2019–20 season.