MLB site asked "Are the Dodgers a dynasty?" 8 straight division titles and a World Series championship is pretty darn good. But a dynasty? I would say not yet.
Next year all their key players will be back. Plus David Price. He opted out of this season. Some talented young arms on the pitching staff to go with a couple solid veterans. Talented position players. If they repeat, then I would say yes. You can use the "D" word when describing this version of the Los Angeles Dodgers.
If there would be a concern going into next season, it would be the closer. Jansen isn't what he used to be. They have some good young arms with guys who can throw 100mph. But will any of them have the needed mentality to be a quality closer? I would look at Dustin May. If he can learn to be consistent with his off speed stuff, he could be like Gagne was in his prime. Graterol would be an option too.