Pat the seafood dry and place in a glass bowl. Cover with the lime juice and let marinate until opaque, about 3 hours. Place the seafood in a clean bowl, and reserve the lime juice. Add the avocado, red onion, tomato, cilantro, olive oil, jalapeno, salt, cayenne and cumin to the seafood, gently stirring to mix. Add reserved lime juice to taste. Refrigerate for 1 hour.
Serve chilled in a tall martini or cocktail glass.
Yield: 4 servings