Whisk together the flour, ginger, cinnamon, cloves, baking soda, and salt; set aside.
Beat the eggs and sugar until thick and pale, then mix in the molasses.
Fold in the dry ingredients until just combined.
Spread onto a parchment-lined jelly roll pan and bake at 350°F for 10 to 12 minutes.
Turn out onto a powdered-sugar-dusted towel and roll up from one short end; cool completely.
Whip the cream, powdered sugar, and vanilla to stiff peaks.
Unroll the cooled cake, spread with filling, and roll back up without the towel.
Wrap and refrigerate for at least 1 hour before slicing.