Take the salmon out of the refrigerator around 20 minutes before cooking to bring it to room temperature. Gently pat the salmon fillets dry using a paper towel and season both sides with a pinch of salt and pepper.
In a small bowl, combine the sauce ingredients by whisking the honey, soy sauce, vinegar, and minced garlic until well blended.
Heat a drizzle of olive oil in a non-stick pan over medium-high heat. Once the oil is shimmering, place the salmon fillets in the pan. Cook for 3 to 4 minutes on the first side until the surface turns golden brown. Flip the fillets and cook the other side for an additional 2 to 3 minutes or until golden.
Pour the sauce mixture over the salmon in the pan, allowing it to simmer for about a minute until it begins to thicken slightly. Check the doneness of the salmon by observing the side of the fillet—medium-rare is a good option for a tender result. If the sauce thickens too much before the salmon is fully cooked to your liking, add water gradually, one tablespoon at a time.
Transfer the salmon onto serving plates, drizzling the sauce generously over the top. Sprinkle with sesame seeds and garnish with finely sliced chives or scallions if desired.