In a small bowl, stir together the balsamic vinegar, honey, minced garlic, dried thyme, salt, and black pepper.
Place the chicken thighs in the slow cooker and pour the balsamic mixture over the top. Cover and cook on low for 5 hours.
About 30 minutes before the chicken is done, combine the farro and water in a medium pot. Bring to a boil, then reduce to a simmer and cook for 25 minutes until tender. Drain any excess liquid.
Heat the olive oil in a large skillet over medium heat. Add the asparagus and cook for 4 to 5 minutes until bright green and slightly tender.
Serve the chicken and its glaze over the cooked farro. Add the asparagus on the side and sprinkle everything with the chopped parsley.