Put an oven rack in the lower third of the oven. Preheat the oven to 425 degrees F.
Place the puff pastry between two sheets of parchment paper and roll it out a bit to make a 9-by-10-inch rectangle. Remove the top piece of paper. Use the tip of a sharp knife to gently score the dough, without cutting all the way through, 1 inch from the edges all the way around. Transfer to a sheet pan and store in the freezer while you prepare the peaches.
Cut the peaches into 1-inch wedges. Toss them with 1 tablespoon honey. Remove the dough from the freezer, sprinkle on the thyme, and arrange the peaches in a single layer on top, leaving the border clear.
Bake the tart until the crust is deep golden-brown and the peaches are tender, about 25 minutes. Remove from the oven to a cooling rack and cool slightly before serving. Cut into squares, top each with a dollop of ricotta, and drizzle some honey over the cheese.
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