Directions

1. Make filling: Place a fine-mesh sieve over a medium bowl. In a medium saucepan, off heat, whisk together cornstarch and egg yolks. Whisk in milk and honey until cornstarch is dissolved. Whisking constantly, cook over medium until the first large bubble sputters. Reduce heat to low; cook, whisking, 1 minute. Remove from heat; immediately pour through sieve into bowl. Press plastic wrap on surface of pudding; refrigerate 3 hours (or up to 3 days).
2. Preheat oven to 350 degrees. In a food processor, combine flour, sugar, salt, and butter; pulse until mixture resembles coarse meal. Sprinkle with 2 tablespoons ice water. Pulse until dough is crumbly but holds together when squeezed (if needed, add up to 2 tablespoons ice water). Do not overmix.
3. Press dough evenly into a 9-inch removable-bottom tart pan, starting with the sides. Freeze until firm, 15 to 20 minutes. Prick dough all over with a fork. Bake until golden, pressing down with a spoon if the tart shell puffs, 35 to 40 minutes. Let cool completely. (To store, keep at room temperature, up to 1 day.)
4. Whisk chilled pudding until smooth; spread in cooled tart shell, and top with apricots. In a small saucepan, heat jam over medium-low until liquefied; gently brush apricots with jam. Refrigerate tart in pan 1 hour (or up to 3 hours); unmold just before serving.