Prep the wooden skewers by soaking them in water for 30 minutes, this prevents them from burning on the grill.
Add the sesame dressing (reserve ~2 tbsp to garnish), juice of 1/2 lime, splash of avocado oil, and sea salt to a bowl. Mix to combine, then add the cubed chicken breast. Toss and marinate for 15 minutes.
In a separate bowl, toss the broccolini in avocado oil and sea salt. Set aside.
Preheat the grill to about 600 degrees F.
While the grill heats, add the chicken to the skewers.
Add the chicken skewers to the hot grill and cook covered for 4-5 minutes, flip, and another 4-5 minutes covered.
Add the broccolini when the chicken is half way done and cook until slightly charred.
Serve with chopped green onion, lime wedges, and the reserved sesame dressing. Enjoy!