The buzzer notifies the queen’s staff to come in and escort the guest out.
In public, however, Queen Elizabeth can’t rely on her buzzer.
Instead, she has a series of signals that bring her aides to her, well, aid.

Other members of the royal family have their own ways to get out of a lengthy conversation.
Prince Philip reportedly makes a sweeping motion when he is meeting people in a line.
By the time the question has been answered, the prince will have moved down the line.

Prince Charles' conversation stopper is to make a joke and escape as his audience laughs.