Step 1 Halve and clean the lobsters. Brush with 3 tablespoons of lime juice; season with salt and pepper. Broil for 10 minutes; cool. Remove the meat and cut into bite-size pieces.
Step 2 Cook the orzo in a medium saucepan of boiling salted water until al dente, about 7 minutes. Drain and transfer to a small bowl. Toss with 1 tablespoon of olive oil; set aside.
Step 3In a small bowl, combine the apples and the celery. Toss with the remaining lime juice and olive oil. Season with salt and pepper. Chill.