How to Make It
Line a large steamer basket with the lime slices. Add the chicken breasts in a single layer and season with salt and pepper. Steam the chicken until white throughout, about 15 minutes.
Meanwhile, in a large skillet, melt the butter. Add the balsamic vinegar and sugar and stir until the sugar is dissolved. Add the asparagus and water and cook over moderately high heat, stirring, until crisp-tender, about 5 minutes. Season with salt and pepper.
Transfer the asparagus to plates. Spoon the sauce over the top. Thickly slice the chicken breasts crosswise, arrange on the asparagus and serve.