Grilled Lobster and Avocado Cocktail

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2 (1 1/2-pound) lobsters, par-boiled and halved lengthwise

1/2 cup fresh lime juice

2 teaspoons honey

2 tablespoons prepared horseradish, drained

1 tablespoon Worcestershire sauce

1 teaspoon hot sauce (recommended: Tabasco)

1 tablespoon chopped fresh tarragon leaves

1 tablespoon extra-virgin olive oil

Salt and freshly ground pepper

1 ripe avocado, peeled, pitted, and chopped

1/4 cup chopped watercress

4 lime wedges, for garnish