Toss cucumbers with ¼ tsp salt and place in a colander to drain for 10 minutes. Squeeze any excess water out by pressing on the cucumbers. Discard liquid.
Combine cucumber and rest of ingredients, except for lettuce and tomato, and mix well. Refrigerate until ready to serve. Portion 3 oz chicken into each pita bread pocket half with a piece of lettuce and a slice of tomato.