Slice the cucumber, red onion, green onion and carrot. Dice the avocado and cut the fully cooked chicken into bite-sized pieces. Use cooked, shelled edamame.
Whisk the cream cheese, mayonnaise, soy sauce, Sriracha and chili oil until smooth. This is a generous, spicy dressing: start with less Sriracha and chili oil if you prefer mild heat.
Layer the vegetables, edamame, chicken and avocado in a large jar, leaving room to mix. Add dressing to taste and sprinkle with sesame seeds. Close securely and shake gently, or toss in a bowl. Keep chilled until serving.