Bruins in the first round. In a preseason game, Cunneyworth recorded a third-period hat-trick. Injuries continued to take a toll during the 1991–92 season (ankle injury/back strains), as Cunneyworth played in 39 games with Hartford, scoring seven goals and 17 points, helping the Whalers reach the playoffs for the third consecutive season. In seven playoff games, Cunneyworth had three goals (tied for team lead) as Hartford lost to the Montreal Canadiens in the first round of the post-season. A healthier Cunneyworth playing under coach Paul Holmgren for 1992–93 saw spot duty and was often a healthy scratch. In 39 games, he scored five goals and nine points. Hartford failed to reach the playoffs. Earned 27 minutes in penalties in a game against Pittsburgh on December 4, 1993, in which Cunneyworth instigated a line brawl that featured a fight between Cunneyworth and Markus Naslund. In 1993–94, playing full-time under new coach Pierre McGuire, Cunneyworth appeared in 63 games with Hartford, scoring nine goals and 17 points. On March 11, 1994, with the Whalers well out of the playoff hunt, Whalers GM Paul Holmgren traded Cunneyworth, Gary Suter and the Whalers third round pick in the 1995 NHL Entry Draft to the Chicago Blackhawks for Frantisek Kucera and Jocelyn Lemieux. Chicago Blackhawks (1994) Cunneyworth finished the 1993–94 season with the Chicago Blackhawks, where in 16 games, he scored four goals and seven points, as the Blackhawks made the playoffs as the sixth seed in the Western Conference. Cunneyworth played in six playoff games with Chicago, getting no points, as the Blackhawks lost to the Toronto Maple Leafs in the first round of the post-season. Played in the last NHL game ever played in Chicago Stadium. After the season, Cunneyworth elected free agency. On July 15, 1994, he signed a contract with the Ottawa Senators. Ottawa Senators (1994–1998) Due to the 1994–95 NHL lockout, the 1994–95 season was shortened to 48 games. Named the new Senators team captain prior to the start of the season, Cunneyworth appeared in every game during the season. He scored five goals and ten points. The team finished in last place in the NHL. Was the Senators nominee for the King Clancy Award (Leadership and Dedication to the Game) Cunneyworth had a very solid 1995–96 NHL season with Ottawa, playing in 81 games, scoring 17 goals and 36 points, his highest totals since the 1988–89 season. The Senators