Season chicken kabobs with salt and pepper to taste and set aside.
Add olive oil to medium sized saucepan and heat over medium heat. Add minced garlic and cook for just 1 minute.
Next stir in apricot preserves, soy sauce, lime juice and honey. Whisk together to combine and bring to simmer.
Once sauce has thickened into a smooth sauce and reduced by about half remove from heat.
Add chicken kabobs to grill and grill on both sides. When chicken kabobs are about 15 minutes from being done, begin brushing chicken kabobs with sauce on both side and continue to brush throughout the cooking process sealing in more and more flavor until they are done.
Brush the apricot glaze on to the chicken kabobs after you put them on the grill.