Grilled Asparagus Salad

Name: Grilled Asparagus Salad
Ingredients: 1 lb asparagus; ½ cup extra-virgin olive oil, plus more for brushing; salt; freshly ground pepper; 4-6 cups mixed greens; 1 seedless cucumber, cut into ½-inch dice; 1 pint grape tomatoes, halved; 1 can drained and rinsed chickpeas; ½ cup pitted kalamata olives, coarsely chopped; 8 oz sharp white cheddar (I used regular cheddar), cut into ¼-inch dice; 3 tbsp fresh orange juice; 1 tbsp fresh lemon juice; 1 tbsp red wine vinegar; 2 tsp dijon mustard; 1 tsp chopped basil; 3 cups pita chips