It's looking likely that The Last of Us: Part 2 is targeting a February 2020 release
The Last of Us: Part 2 doesn't have a set release date, but we're betting on February 2020.
We got our first hint of this back in late May when Kotaku's Jason Schreier tweeted out that he'd heard the game would launch in early 2020 - "possibly February".
Now, per Eurogamer, we've got another little hint via an interview with actor Ashley Johnson (who plays Ellie) on Critical Role's YouTube channel.
At around 1:07:22, when host Brian W. Foster asks Johnson when the game is releasing, she responds "I think it's coming out in Fe-" before being interrupted by Foster. Whether or not this is an intentional move - or Johnson remembered mid-word that she's not meant to say - is unclear. The question is, eventually, skipped over.
It's worth noting that actors and performers are, in my anecdotal experience, left in the dark about details like this surprisingly often. Still, Johnson has been heavily involved in the creation of The Last of Us 2, and we know that the game is in its final stages of production, and that Death Stranding is Sony's big game for the holiday period. So we'll see.
The Last of Us: Part 2 will be exclusive to PS4 (unless a PS5 'definitive edition' releases down the track).