Seeing or touching a black stone in your dream typically symbolizes loyalty to authority. It may also indicate a new beginning in your life, where you are reflecting on your mistakes. Sometimes, it suggests learning from a virtuous person or establishing a relationship with them. If you dream of a black stone, you might be seeking peace for your soul.
From Imam Muhammad Ibn Seerin's Dictionary of Dreams According to Islamic Inner Traditions â entry "Black Stone" (page 41).
Seeing or holding the Black Stone of the Ka'aba in one's dream means paying allegiance to the ruler, or it could mean repentance from sin at the hand of a pious Imam, or it could mean kissing one's son, wife or bosom friend. It also means serving people in the government. If one sees himself touching the Black Stone in his dream, it means that he will follow and learn at the hand of one of the Imams of the Arabian peninsula. Seeing the sacred Black Stone in a dream is perhaps an indication of going to perform one's pilgrimage. If one sees himself cutting into the Black Stone in a dream, it means that he wants people to follow his personal opinions. If he sees the pilgrims searching for the Black Stone but cannot find it in a dream, it means that he thinks of himself to be right and the rest of the people to be wrong. It also could mean that he possesses a knowledge which he hides from others. Ifhe touches the Black Stone in his dream, it means that he follows the teachings of an Imam from among the Hijazite Arabs. If he sees the Black Stone being a castle for himself in a dream, it means that he follows religious innovations. If he swallows the Black Stone in his dream, it means that he is a affected person who will mislead people. (Also see Ka'aba; Corner Stone)
Note: Islamic dream interpretation depends on the dreamer's circumstances and state. This is a general guide drawn directly from the source book.