During a recent earnings call, Take-Two (and 2K) noted that its current crop of games-in-development represented its "strongest development pipeline in history". Which includes "sequels from our biggest franchises" in addition to brand new stuff. According to previous reports, the next BioShock is in development at a secret 2K studio.

And now with this new job listing - there's an assumption that that a new 2K team in Novato, California is working on the next BioShock. What makes this interesting is that the listing is looking for an 'End Game Design Lead' with the following description.

In the game we’re making, the story itself will come to a conclusion. The world, by contrast, is something we are designing to be alive and engaging past the main narrative arc. To leverage this, we want to build a post-narrative set of systems, quests and player progression that gives our fanatic fangirls and fanboys more content to experience on an ongoing, live-services basis.

Based on other listings we can glean that the project will have a strong narrative focus, which definitely sounds like BioShock. But, the idea of an end-game and live-service ala Destiny would present a pretty huge shift for the franchise.

Of course this is all unconfirmed at this point, but is based on revelations made by Kotaku in 2018 where several sources hinted that 2K is rebooting BioShock in a big way.