1. Heat a small saucepan over medium-high heat. Add oil to pan; swirl to coat. Add shallots; sauté 1 minute. Add apple and next 4 ingredients (through vinegar); bring to a boil. Reduce heat, and simmer, uncovered, 25 minutes or until most of liquid evaporates and apples are very tender. Remove from heat; stir in 3/4 teaspoon thyme, salt, and pepper. Cool to room temperature. Gently stir in blue cheese. Sprinkle with the remaining 3/4 teaspoon thyme.
Make-ahead tip: Prepare and refrigerate the chutney up to three days ahead; bring to room temperature before serving. For a prettier presentation, top crostini with chutney, and sprinkle the cheese on top instead of stirring it into the chutney.