Position a rack 3 inches from the broiler. Heat the broiler to high.
If you know how to supreme citrus fruit, do that, squeezing and reserving any juice left in the rinds, then skip to step 2. Otherwise: Slice off the ends of each orange and the lemon. Squeeze the juice out of those ends into a medium bowl. Discard the rind. Stand each piece of fruit on one of its cut sides. Run a knife down the side of each orange and the lemon to remove the skin. Squeeze the juice out of those skins into the bowl, then discard. Remove each citrus segment by running a knife down the side of each membrane and slicing the segment out. Drop it into the bowl of juice. Once all of the segments are removed, squeeze the remaining membranes into the bowl to extract the juice. You should be left with a bowl of beautiful segments swimming in a lot of juice.
Pour 1 tablespoon of the juice from the bowl of citrus segments into a large bowl. Add the honey and 1 tablespoon of the olive oil. Whisk to combine. Add the fish and toss to coat. Let marinate for at least 5 minutes.
Meanwhile, pour the remaining 2 tablespoons of the olive oil into the bowl with the citrus segments. Add the chives and a big pinch of salt. Stir to combine. Taste—it should taste similar to a salad dressing with perhaps less of a bite. It should not be emulsified.
Rub a sizzle pan, sheet pan, or broiler pan lightly with the neutral oil. Remove the fish from the marinade, letting the excess drip off—no need to pat dry. Discard the excess marinade. Place the fish skin side down in the pan. Season the flesh with salt (and pepper, if you wish) to taste. Place the pan with the fillets into the oven. Broil for 4 to 5 minutes. Remove the pan from the oven and immediately transfer the fish to a platter. Spoon the sauce over the top. Pass the extra sauce on the side.