Preheat oven to 325 degrees F. Grease a 9-inch springform.
In a medium bowl mix together the flour, baking powder, salt, and sugar. Cut in the butter until the mixture resembles breadcrumbs.
Mix the eggs, honey, and yogurt together and add to the dry ingredients. Mix just until ingredients are combined.
Spread the mixture into the prepared springform pan and set aside.
In another medium bowl combine the sugar, cinnamon, flour, and old fashion oats. Add the butter and mix until the ingredients are combined.
Toss in the blueberries. Reserve a cup of the crumble for the top of the cake.
Sprinkle the remaining crumble over the top of the cake. Take a knife and swirl the crumble into the cake. Top with the remaining crumble.
Place the cake into the preheated oven and bake for 50 to 55 minutes or until a toothpick insert comes out clean.
Remove from the oven and cool on wire rack.