Toss in the apricots and honey. Stir in plum tomatoes with their juice. Add a little water if necessary to ensure there is enough to cover the base of the tagine and submerge the apricots. Bring liquid to a boil, then reduce heat to low. Cover with a lid and cook gently for 35 - 40 minutes.
Season to taste with salt and pepper. Sprinkle shredded basil over chicken. Serve immediately.