Wash, pat dry, and sprinkle the chicken tenderloins with s&p, and lightly toss in flour.
In a large saute or frying pan, melt 2 tbsps butter in 2 tbsps of light olive oil over medium heat, and brown the tenderlions until they've acheived a good golden color on both sides.
set chicken aside.
Deglaze pan with most of the chicken stock, and turn heat up to high to bring to a boil.
add sprigs of thyme and reduce stock a little.
Return chicken to pan, gently turning in the sauce.
Sprinkle with parsley and capers.
add juice and a little zest of the lime, and remaining butter distributed around the pan.
Simmer uncovered for just about 5 minutes, then turn the tenderloins and simmer another minute or 2 as the sauce thickens.
Plate the chicken around roasted garlic potato wedges, or around a mound og garlic mashed potatoes, and drizzle the sauce over everything (removing the unsightly thyme stems).
Note: If the sauce is getting too thick at any point, just add a little of any remaining chicken stock to help thin it out, or vice versa, reduce it a little longer after plating the chicken.