When I was little my mom used to sew matching dresses for my sister and I for holidays and special occasions. (Yes, the thought was nice but I hated wearing those matching dresses!) Anyway, my mom loved to make them with puffy sleeves.
I remember seeing the dress parts once before she put it together. The sleeve caps for the set in sleeves were enormous! I'm not sure how she managed to sew enough gathers to make those sleeves fit into the armhole, but she did!