In a bowl, place flour and carefully add water. Stir until flour is moistened. If needed, add 1 tablespoon of water at a time to form a firm but smooth and pliable dough. The dough should not feel dry or too sticky.
Scoop about 1 teaspoonful of dough and roll in palm of hands into 1-inch balls. Using the sharp end of one bamboo skewer, poke through each dough ball.
In a wide pan over medium heat, heat about 1 to 2 inches of oil. Carefully add balls into the oil and cook, stirring occasionally, until they float to the top. Continue to cook for another 1 to 2 minutes or until lightly golden.
With a slotted spoon, remove from pan and drain on paper towels.
Place the brown sugar in the oil and cook, stirring regularly, until it begins to melt.
Add rice balls and cook, stirring regularly, until coated with caramel.
Remove from the pan and drain on a wire rack. Skewer in bamboo skewers if desired.