Heat a large skillet over medium heat. Chop the bacon slices into ¼ inch pieces and cook, stirring occasionally, until browned. Transfer to a paper towel-lined plate with a slotted spoon. Do not pour out the bacon grease.
Sprinkle the chicken breasts with salt and Cajun seasoning on both sides.
Put the skillet back over medium heat and sauté the chicken breasts until cooked through, about 6 minutes per side. Remove to a cutting board to rest.
Caesar Dressing
While the chicken is resting, blend the dressing ingredients together using an immersion or regular blender, or a food processor.
Croutons
Melt the butter in a medium skillet (If using the same skillet the chicken was cooked in, be sure to clean it first or the croutons will absorb the charred spices and turn black).
Add the minced garlic and bread cubes to the skillet and toast, flipping and stirring frequently until golden.
Chop the romaine hearts and toss in a large bowl with about ¼ cup of dressing. Divide between four plates. Top each plate with chicken, croutons, and bacon. Drizzle with additional dressing and sprinkle with parmesan.