I see characters in kung fu and samurai movies put money in their sleeves, or take money out of their sleeves. Was there a pocket or a pouch hidden up there?
Ya, Kinda. Kimono like the samurai wore are still being made. The sleeves are sown on the bottom and half of the front and just a bit on the back. Its not a pocket but it can hold stuff. Its good to remember that the sleeve on a kimono is separate from the rest, except at the top of the shoulder. on If its paper or something light it can easily be held in there. If its heavy it begins to whip around when you move your arms.
In Japan during summer festivals most Japanese boys and girls will wear traditional style kimonos. I myself have one and have worn them. I wouldn't put my wallet in there, but a piece of paper is just fine.
Regarding traditional Korean clothing, the Hanbok*, did not have pockets--in the sleeves or anywhere else. Here's a fun excerpt from A. Henry Savage-Landor's travelouge of Korea from the late 19th century during the final years of the Joseon period:
The Corean is an unfortunate being. He has no pockets. If his hands are cold he must warm them by sticking them down his belt into his trousers, and if he be in company with people, he can generate a certain amount of heat by putting each into the other arm's sleeve. As for the money, tobacco, &c, that he wants to carry, he is compelled to provide himself with little silk bags, which he attaches to his waist-band or to the ribbon of his coat. These bags are generally of orange colour or blue, and they relieve a little the monotony of the everlasting white dresses.
The clothing, so far as I have described it, is, with the exception of the shoes, that which is worn habitually in the house by the better classes of the people; the officials, however, wear a horse-hair high cap resembling a papal tiara on the head, instead of the other form of hat. Indoors, the shoes are not worn, the custom of Japan being prevalent, namely, to leave them at the door as one mounts the first step into the room. The middle lower classes and peasantry are seldom found parading the streets with anything besides what I have described, with the exception of the long pipe which they, like the Mapu or the coolies, keep down the back of the neck when not using it. Merchants, policemen, and private gentlemen are arrayed, in winter especially, in a long cotton or silk gown similarly padded, an overall which reaches below the knees, and some, especially those in the Government employ, or in some official position, wear either without this or over this an additional sleeveless garment made of four long strips of cotton or silk, two in front and two at the back, according to the grade, almost touching the feet and divided both in front and at the back as far up as the waist, round which a ribbon is tied. This, then, is the everyday wardrobe of a Corean of any class. You may add, if you please, a few miscellaneous articles such as gaiters and extra bags, but never have I seen any man of Cho-sen walk about with more habiliments than these, although I have many times seen people who had a great deal less. The clothes are of cotton or silk according to the grade and riches of the wearer. Buttons are a useless luxury in Cho-sen, for neither men nor women recognise their utility; on the contrary, the natives display much amusement and chaff at the stupid foreign barbarian who goes and cuts any number of buttonholes in the finest clothing, which, in their idea, is an incomprehensible mistake and shows want of appreciation.
Their method of managing things by means of loops and ribbons, has an effect which is not without its picturesqueness, perhaps more so than is our system of "keeping things together" in clothing matters. After all it is only a matter of opinion. The inhabitants of the land of Cho-sen, from my experience, are not much given to washing and still less to bathing. I have seen them wash their hands fairly often, and the face occasionally; only the very select people of Corea wash it daily. One would think that, with such a very scanty and irregular use of water for the purpose of cleanliness, they should look extremely dirty; but not a bit. It was always to me irritating to the last degree to see how clean those dirty people looked!
In Japan, men's sleeves are pockets. They can reach into the wrist opening with the other hand or, more usuallly, just withdraw the hand into its own sleeve and rummage around for coins or snacks.
You can't do this with women's kimono, whose sleeves are open down the side near the body. Women's garments are also open on the side seam under the arm (to permit breast-feeding without pulling it half apart). Men's kimono sleeves are sewn up to the armpit, as is the kimono body. So they have a foot-deep bag hanging off each arm they can keep things in.
Paper, whether letters or hankies, are usually tucked into the neckline. Stiff objects like pipes and fans may be tucked in the obi/sash. Tobacco folded up in thick soft paper would be in the sleeve.
SOURCE: too many kimono sewn, dresser and costumer for Kabuki Hawai'i & helping for Onoe Kikunobu Dance Company concerts.