Game Of Thrones Season 7 Episode 5 Episode Name Revealed: "Eastwatch"

5. Jaime Lives

Given the way "The Spoils Of War" ended, it would be tempting to suggest that both Jaime Lannister and Bronn have been killed off, even despite Bronn's heroic save. Some are even reporting that to be the case, but it's pretty unlikely, even with Jaime seen plummeting into the watery depths, weighed down by his armour and his hand.

Jaime's arc cannot end here, because he HAS to turn on Cersei and reunite with Tyrion at some point, an cheaply killing him off wouldn't be the right sort of end. It would also make Bronn's intervention entirely pointless, which is equally as unlikely

So expect both characters to reappear, and for it to be through their eyes that we see the true cost of Dany's devastating attack on the Lannister and Tarly armies. There's even a suggestion that they appear in the "Eastwatch" trailer, shot from distance.