Andy Shore in his workshop covered (among many things) Teacup Chain. Here is the definition for Teacup Chain:
TEACUP CHAIN -Starting formation -Static Square, or proceeding from everyone doing a Left Arm Turn with partner. TIMING - 32
The caller will specify two ladies to move to the center at the start of the call, e.g., "Head ladies center for a Teacup Chain". For the rest of the definition, these two ladies will be called the "specified ladies". The specified ladies (both Head ladies or both Side ladies) move to the center and Star Right three-quarters to meet their corners for a Left Arm Turn. At the same time, the other two ladies move to the right around the perimeter of the square to their corners, and do a Right Arm Turn. Following the Arm Turns, the specified ladies move around the perimeter of the square to their new corners for a Right Arm Turn, while the other ladies go to the center and Star Left once and a quarter to meet their new corners for a Right Arm Turn.
The specified ladies then move to the center and Star Left once and a quarter to their new corners for a Right Arm Turn, while the other ladies move to their new corners (around the perimeter of the square) for a Left Arm Turn.
Finally, the specified ladies move to their new corners (their original partners) for either a Courtesy Turn or a Left Arm Turn leading into the next command, while the other ladies move to the center and Star Right three-quarters to meet their new corners (their original partners) for either a Courtesy Turn or a Left Arm Turn leading into the next command. Everyone finishes with his/her original partner.
Andy workshopped Side Ladies Teacup Chain and All Ladies into the Center for a Teacup Chain. The crucial point for the ladies to remember is that they are going to proceed from man to man in promenade order. That is, after the hollerin' in the middle of the square the starring ladies will proceed counter-clockwise to the next man, who will turn them, and point them in the right direction. In the meantime, the women on the outside, will proceed (counter clockwise) to the next man in promenade order, too.
For the men, they must remember that they meet the incoming lady with the same arm that she offers, then point the women either into the center or to the right. In an All Ladies, the man will be pointing both directions, but that's more to be experienced than talked about.
So the big takeaway with Teacup Chain, is that when all is said and done in the middle of the square, the ladies are moving in the promenade direction to the next man! It doesn't get much simpler than that.