Preheat the oven to 425°F.
Separate the leaves of the radicchio and put them in a salad bowl.
Peel the clementines and lemons down to the flesh. Cut off the tops and bottoms and, holding the fruit over a bowl, cut out the sections between the membranes, saving any juices. Put the segments in the bowl. Squeeze all the trimmings and collect that juice as well. Add the cipolline to the citrus segments.
Make a dressing of the collected citrus juices, olive oil, nut oil, salt, and pepper. Pour over the cipolline and the citrus sections and toss together.
Slice the cheese and arrange on the slices of bread. Bake in the oven until the cheese is melted and slightly golden, about 5 minutes.
Pour the dressed citrus and onion over the radicchio and toss well. Sprinkle with the thyme flowers, salt, and pepper. Serve the salad with the hot cheese toasts.
Never be afraid to use your fingers; they are the most accurate tool.
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