Heat the oven to 200°C (400°F). Toss the endive halves with the olive oil, salt, and honey, and place them cut-side down on a rimmed baking sheet.
Roast for 15 minutes, until the cut sides are golden brown and a knife slides easily into the thickest part.
While the endive roasts, melt the butter in a small skillet over medium heat. Add the panko and stir for 2 to 3 minutes, until golden and fragrant. Stir in the Parmesan and set aside.
In a bowl, mix the mayonnaise, crème fraîche, shallot, mustard, lemon zest and juice, parsley, chives, and pepper. Gently fold in the crab, trying not to break up the lumps.
Turn the roasted endive halves cut-side up. Gently press the center of each with a spoon to make a shallow well.
Mound the crab mixture into each half, then sprinkle with the buttered panko.
Bake for 10 to 12 minutes, until the topping is golden brown and the filling is hot at 74°C (165°F), with a little bubbling at the edges.
Rest for 2 minutes and serve warm, with lemon wedges.