Whisk the yogurt, goat cheese and 1/3 cup water in a mixing bowl until smooth. Whisk in 3 tablespoons of the oil, the parsley and scallions. Season with salt and pepper.
Heat an outdoor grill or large cast-iron grill pan over medium-high heat. Brush the pork tenderloin with 1 more tablespoon of the oil and sprinkle liberally with salt and pepper. Grill until charred on all sides and the internal temperature on an instant-read thermometer registers 135 degrees F, 12 to 16 minutes.
Meanwhile, brush the cut side of the plums with 1 more tablespoon of oil and sprinkle liberally with salt and pepper. Place the plums, cut-side down, on the grill and cook until charred and the top of the flesh is just softened, 3 to 4 minutes. Transfer to a plate. Some of the flesh might stick to the grill but that is okay, the plums will still have a nice, slightly charred flavor.
Remove the pork from the grill and rest for 10 minutes. Slice thinly on a diagonal against the grain. Sprinkle the slices lightly with salt.
Toss the baby arugula with the remaining oil and the lemon juice in a bowl. Season with salt and pepper.
To plate, divide the arugula salad among 4 plates, keeping the salad on 1 side of the plate. Smear some goat cheese sauce on the other side of the plates. Place several slices of pork tenderloin on top of the sauce and place 1 plum half on each plate. Serve any remaining goat cheese sauce on the side. Serve immediately.
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