In a small bowl, whisk together the soy sauce, oyster sauce, rice wine vinegar, sugar and fish sauce. Set the sauce aside.
Bring a large pot of water to a boil. Add the rice noodles and cook according to package directions. Drain and set them aside.
Add 2 tablespoons vegetable oil to a large skillet or wok set over medium-high heat. Once the oil it hot, add the garlic and cook, stirring frequently, until it’s golden brown and fragrant, about 15 seconds. Add the broccolini and cook, stirring frequently, until it is crisp-tender, 1 to 2 minutes.
Push all the ingredients to one side of the pan then add the eggs and scramble until cooked through. Fold the eggs into the broccolini then transfer all the ingredients to a plate and wipe the skillet clean.
Return the skillet to medium-high heat and add the remaining 1 tablespoon vegetable oil. Once the oil is hot, add the noodles and prepared sauce. Carefully toss the noodles with the sauce and cook until they are lightly caramelized, about 2 minutes.
Return the broccolini and eggs to the skillet and toss just until combined. Serve immediately with a squeeze of lime.