Mix egg, milk, flour and 1 tablespoon of sugar to a smooth dough. Let dough rest for 20-30 minutes.
Meanwhile wash the plums, dab dry, cut in half and remove stone. Wash mint, shake dry. Pluck off leaves and chop coarsely except for something to decorate. Put 4 tablespoons of sugar in a pot and caramelise.
Deglaze with nectar. Add cinnamon and bring to the boil. Mix starch with 2 tablespoons of water and stir into the boiling nectar. Let simmer for about 2 minutes. Remove cinnamon, stir in lime zest and chopped mint.
Pour the sauce over the plums and mix.
Heat the oil in portions in a coated pan and bake 6 golden-brown crêpes from the dough, one after the other. Roll them up into a bag and fill with plum compote. Arrange the crêpes on plates, decorate with mint and dust with icing sugar.