Justin Timberlake DWI Arrest Body Cam Video Won't Be Released Anytime Soon

Justin Timberlake's DWI arrest was caught on body cam video -- but cops aren't planning to release it to the public anytime soon ... at least not until their investigation is wrapped. TMZ officially submitted a request for a copy of the video -- which we know was taken during the time of the arrest early Tuesday -- and Sag Harbor PD just got back to us with their response ... saying they're denying the request…