I don’t remember having specific “moves” as much as specific “rules” that the person in the #1 square could declare or forbid, such as bobbling okay, catching for 2 seconds ok (if playing with little kids, usually), one bounce ok, spiking forbidden, etc.
For those who don’t know/remember the game: you draw a big square on the ground, and divide it into four smaller squares, numbered 1 through 4. A new player entered at #4 and the goal was to get to #1 and stay there as long as possible. It was kinda/sorta like volleyball without a net. A player would bounce or throw the ball to another player’s square, and the player in that square had to slap/throw/bounce it to another player’s square. If a player missed a ball that was clearly “his”, that player was out, and everyone in a square lower than the out player moved up one square. If there was a line of people waiting to play, the person at the head of the line became the new #4.