Soak skewers in water 15 minutes.
Heat broiler; line broiler pan with aluminum foil.
In a bowl, stir cornstarch into 1 tablespoon hot sauce until smooth; stir in remaining hot sauce.
Add chicken; toss to coat. Let marinate for 30 – 60 minutes.
Thread chicken lengthwise on skewers; reserve remaining hot sauce mixture.
Place chicken in pan so skewers hang off edge; cover exposed sticks with aluminum foil.
Broil 4 minutes. Turn chicken; brush with remaining sauce.
Broil until chicken is cooked through, 4 to 5 minutes.
In another bowl, combine blue cheese and dressing.
Serve chicken with celery sticks and blue cheese dipping sauce.