Trim excess fat from chicken thighs and season thighs on both sides with salt, pepper and dried thyme.
Put bacon in a cold, large sauté pan. Cook over medium-high heat, turning frequently, until crisp. Transfer to a paper towel-lined plate.
Add oil, if needed (if your bacon did its fat-releasing job, you won’t need to—if you’re not using bacon, start with 2 tablespoons olive oil). Put chicken thighs into skillet, skin side down. Cook undisturbed until quite brown, 6 to 8 minutes. Turn chicken, reduce heat to medium and cook for about 4 minutes. Transfer chicken to plate.
Drain all but 2 to 3 tablespoons of oil/chicken fat/bacon grease from pan. Add onion, celery, bell pepper and garlic to pan, stirring to combine and coat everything with oil. cook, stirring often, for about 8 minutes. You want to soften the vegetables, but not brown them—reduce heat, if needed.
Add tomatoes to pan, and sprinkle on curry powder and currants. Stir everything to combine, drizzling in a little water if tomatoes seem too thick. Crumble up bacon into pan. Nestle chicken thighs into the mixture skin side up. Bring to a boil, then reduce to a simmer and cover pan. Cook until chicken is cooked through and flavors have combined, 15 to 20 minutes.
Spoon cooked rice into shallow bowls. Top with tomato/vegetable sauce and a chicken thigh. Sprinkle slivered almonds over each bowl and serve.