One-Eyed Jack's NYPD police career comes to an end in Eagle No. 109, dated 21 April 1986 (a bit of a dark storyline that was a reprint from a 1976 issue of Valiant just before it merged with Battle Picture Weekly).
Jack does go rogue but only to take down (permanently) the criminal gang who his nephew had worked for. However at the end he doesn't get his job back.
Although Jack was popular, with Valiant merging with Battle a police story wasn't going to be the best fit. In the first merged issue though Jack's adventures continue with him being drafted into a secret organisation (the Military Intelligence Agency) by an old army buddy. The story continues until the strip was replaced by Dredger when Battle merged with Action in 1977. Newer readers then discovered his adventures in these reprints in Eagle 10 years later.