Preheat oven to 425 degrees F. Place baguette slices on a very large baking sheet. Brush slices with 4 tablespoons of the oil, then season lightly with salt and black pepper. Toast bread on middle rack of oven about 5 minutes, until crisp and light brown, turning once. Remove from oven; set aside.
For olive-cherry tapenade, in a medium bowl stir together the remaining 2 tablespoons olive oil, olives, cherries, peppers, shallot, basil, lime peel, and lime juice.
Spread goat cheese on toast slices. Top with prosciutto and olive-cherry tapenade; sprinkle with snipped chives.