In spite of putting up decent numbers in his last year of Major Junior Hockey with 55 points in 70 games with the Saskatoon Blades in 1987-88, all NHL teams took a pass on Chase in the 1988 Entry Draft. His significant penalty minutes (343) may have contributed to many teams' reticence on drafting a player who would take numerous penalties. However, in 1988, Chase was signed as an undrafted free agent by the St. Louis Blues, and spent the majority of the three following seasons with the Peoria Rivermen of the IHL. Chase subsequently became a regular on the Blues' bench, with his play on the ice and quick wit off the ice earning him a spot in the hearts of Blues fans.
In 1994, Chase, along with Anthony Sansone Jr., founded and coached the Gateway Locomotives special hockey team. On March 30, 2017, the team was re-named as St. Louis Blues Special Hockey.
In January 1995, the Hartford Whalers selected Chase in the NHL Waiver Draft. Chase would spend most of the next three seasons with the Whalers before being traded to the Toronto Maple Leafs in 1997. Prior to the 1997–98 season, Chase was reacquired by the Blues for future considerations. It was at the end of that season that Chase was awarded the King Clancy Memorial Trophy for his charity work with the Gateway Special Hockey Program, a program started by Chase in the early 1990s to help those with developmental disabilities participate in organized hockey.
Chase retired from professional hockey on July 28, 2000 and was the color commentator for St. Louis Blues radio broadcasts on KMOX until 2018.[1] On December 15, 2008, Chase was presented with the 2008 Jack Buck Award, for his enthusiasm and dedication to sports in the city of St. Louis. Chase also participated on the Canadian Broadcasting's (CBC) Battle of the Blades which is figure skating version of Dancing With The Stars in 2010.
In December of 2023, Chase announced he'd been diagnosed with Leukemia and has begun treatment.