Chill a mixing bowl and cutting board in the freezer for 10 minutes before starting. This keeps the tuna cold and firm for clean dicing.
Pat the tuna dry with paper towels. Slice it into 5 mm planks, then into 5 mm strips, then into 5 mm cubes with a sharp knife.
Transfer the diced tuna to the chilled bowl and keep it in the fridge while you prepare the dressing.
In a small bowl, whisk the olive oil, lemon juice, lemon zest, and Dijon mustard until combined.
Fold the capers, shallot, and chives into the dressing.
Just before serving, pour the dressing over the tuna and toss gently to coat. Season with sea salt and black pepper.
Taste and adjust, adding a touch more lemon juice or salt if the tuna tastes flat.
Pack the tartare into a 4-inch / 10 cm ring mold on each plate and press lightly, then lift the mold away. Or spoon it freehand for a looser shape.
Top with diced avocado if using, and serve immediately with crostini or rice crackers alongside.