Score the skin of the duck breasts in a crosshatch pattern.
Season the duck breasts with salt and pepper on both sides.
Place the duck breasts skin-side down in a cold skillet over medium heat.
Cook for about 6-8 minutes until the skin is golden brown and crispy, then flip.
Continue cooking for another 4-6 minutes until the internal temperature reaches 135°F for medium-rare.
Remove the duck from the skillet and let it rest for about 5 minutes.
In the same skillet, add shallots and cook until soft, about 2 minutes.
Add the cherries, port, balsamic vinegar, and Dijon mustard; simmer for 5-7 minutes.
Finish the sauce by whisking in butter until melted and smooth; season to taste.
Slice the duck and serve drizzled with cherry-port sauce; garnish with thyme.