Puff Sleeve was first popular in
1830s
During the 1830s puffed sleeves became popular yet again, growing even larger than before. Puff Sleeve Anne Diana The gigot sleeve, a variation on the puffed sleeve, was wide over the arm and narrow from the elbow to the wrist and was all the rage in the 1890s. Gigot in French means the back leg of animal that it was said to resemble. The gigot sleeve was meant to help achieve the very fashionable hourglass figure Edwardian women were meant to have.
Source:http://anneofgreengables.com/articles/the-unofficial-history-of-the-puff-sleeve/