Heat the olive oil in a large skillet over medium-high heat for about 1 minute until shimmering. Add the diced onions and cook for 4 minutes, stirring occasionally, until they begin to soften and release their moisture. Reduce heat to medium-low, add the salt, and continue cooking for 35-40 minutes, stirring every 5 minutes or so. The onions will gradually turn golden, then deep brown as their natural sugars caramelize. I like to deglaze the pan with a tablespoon of water whenever the onions start to stick to the bottom—this prevents burning while keeping all those flavorful browned bits in the mixture. You'll know they're done when they're deeply caramelized and jammy in texture.
Transfer the caramelized onions to a bowl and let them cool at room temperature for about 20 minutes. This is important because adding hot onions to the yogurt mixture can break down the dairy and create a grainy texture. While the onions cool, you can move on to preparing the creamy base.
In a separate bowl, combine the Greek yogurt, sour cream, and softened cream cheese, stirring until smooth and well blended. The cream cheese should be at room temperature so it incorporates easily without lumps. Add the Worcestershire sauce, garlic powder, onion powder, balsamic vinegar, salt, and black pepper, stirring until all seasonings are evenly distributed. I find that tasting at this point helps—you can adjust the seasoning intensity before adding the onions, ensuring the final dip has balanced flavors.
Fold the cooled caramelized onions from Step 2 into the creamy base from Step 3 until well combined. Gently stir in the fresh chives just before chilling—this preserves their bright color and fresh flavor rather than having them absorb the dip's color for an hour.
Transfer the dip to a serving bowl and refrigerate for at least 1 hour before serving. This allows the flavors to meld together and creates the perfect creamy texture. Serve with pretzel chips and fresh vegetable crudités for scooping.