Finch Chase enlisted in 2007 with the US Navy as a Master-at-Arms, serving under Navy Expeditionary Combat Command until 2015; this included several deployments to Iraq supporting Operation Iraqi Freedom, Haiti supporting humanitarian efforts, and throughout Central America supporting Southern Partnership Station operations.

In 2015, Chase was commissioned as a Surface Warfare Officer for the US Navy and remained on active duty until 2020. In that time, he served as the Communications Officer aboard USS Cole (DDG-67) and as the Damage Control Assistant board USS Gunston Hall (LSD-44). These tours included additional deployments to the North Arabian Gulf to support ongoing operations in Iraq and Syria and a NATO deployment to Iceland for Exercise Trident Juncture 2018.

Chase is currently a Lieutenant in the US Navy Reserve, serving with NR Naval Special Warfare Det.