Remove the hard core from the endives with a sharp knife, cut them in half lengthwise. Cook them for 20 minutes in oil and half of the butter in a frying pan over high heat, turning halfway through. Season with salt, pepper and honey and leave to cook for a further 5 minutes.
Roll out the puff pastry, cut it into 6 rounds the size of tartlet moulds. Butter the tart moulds generously and sprinkle with sugar, place the endives and then slices of goat's cheese. Crumble 2 sprigs of thyme, spread over the preparation, then place the rounds of pastry on top.
Bake for 20 minutes in a preheated oven at 200 °C, turn out onto a plate and serve warm with a salad.