Preheat the grill or grill pan to medium-high heat.
For the Chicken:
Combine all of the spices, sugar and salt in a large bowl. Add the cubed chicken and toss to coat. Put the chicken on the skewers and lay on the grill. Cook until the chicken is cooked through, turning often so that the spices don't burn, about 10 to 12 minutes. Arrange on a serving platter and serve with the Herb Sauce.
For the Herb Sauce:
Add the fresh herbs, spices, salt, lime juice, and honey to a blender carafe. Blend to combine and with the motor running, slowly add the olive oil. Once combined, taste and adjust the seasoning if necessary, and transfer to a serving bowl.