Finley was selected by the Spokane Chiefs sixth overall in the 2017 WHL Prospects Draft.
[2] On December 13, 2020, the Tampa Bay Lightning signed Finley to a three-year entry-level contract.
[3] In the 2021–22 WHL season the Spokane Chiefs traded Finley to the Winnipeg Ice.
Prior to joining the ice Finley skated in 152 games with the Chiefs, recording 36 goals and 57 assists.
Finley also was serving as the Chiefs captain prior to the trade[4] During the 2024–25 season, on January 14, 2025, Finley made his NHL debut with the Lightning against the Boston Bruins at TD Garden.