Spread the lemon dill cream cheese to within 1/2-inch of the edges of the crust. Scatter the chopped chives over the cream cheese. Arrange the thinly sliced cucumbers over the cream cheese. Scatter the flaked salmon over the cucumbers, then the Quick Pickled Red Onions, fresh dill, and fresh parsley. Cut into wedges or squares and serve.

Store leftovers, tightly wrapped, in the refrigerator for up to 3 days.