Atcheynum was a respectable 52nd overall draft choice by Hartford in 1989 after a junior career that saw him finish in 1988-89 with Moose Jaw in the WHL scoring 70 goals in 71 games. But over the next three years the Whalers didn't use him even once and in the summer of 1992 he was claimed by Ottawa in the Expansion Draft.
In 1992-93, Atcheynum got into his first four NHL games with the Senators, though he spent most of the year with the farm team in New Haven and all of the next four years buried in the AHL and IHL.
The NHL never seemed so far away, but St. Louis signed him as a free agent in 1997 and his perseverance paid off. He played all the next year with the big team. Since then, though, his career has involved much travel. Nashville claimed him in the Expansion Draft in 1998, but traded him back to the Blues near the end of the season, and in the off season he signed with Chicago.
Over the next three seasons, Atcheynum would see limited ice-time with the Blackhawks while spending the better part of those three years with the team's AHL and IHL affiliates before calling it a career following the 2000-01 season.