In a small skillet, sauté lobster in 1 tbsp butter and Cajun seasoning until warmed through. Set aside.
To make the hollandaise, whisk egg yolks and lemon juice over a double boiler until thickened.
Gradually whisk in warm melted butter until sauce is smooth. Season with paprika, salt, and pepper. Keep warm.
In a saucepan, bring water and vinegar to a gentle simmer. Poach eggs for 3-4 minutes until whites are set.
Place toasted English muffin halves on plates. Top each with lobster, then a poached egg.
Spoon Cajun hollandaise over the top and sprinkle with fresh chives.