Cook the rice in 350 ml boiling salted water for 20 minutes. Meanwhile peel, wash and cut carrots into pieces. Melt the fat in a pot. Steam carrots with 4 tablespoons of water, honey, sesame, salt and pepper for 10 minutes in a closed pot, stirring occasionally.
Cut lemon grass in half lengthwise. Cut chicken fillet into wide strips and skewer on lemon grass. Heat oil in a pan and fry chicken skewers for 6-8 minutes until golden brown all around. Drain rice and let it steam.
Remove the skewers from the pan and season with salt and pepper. Deglaze the meat with broth. Let it boil down for 2 minutes. Stir the starch with some water until smooth and add it. Season the sauce with lime juice, salt and pepper.
Arrange rice, sesame carrots, chicken skewers and sauce on plates.