Source: The Great Interpretation of Dreams (Ibn Sirin)
(By analogy with message and tearing) Tearing a message in a dream indicates severing a relationship, corruption of a matter, or news not arriving.
Source: Perfuming Humanity in the Expression of Dreams (Al-Nabulsi)
(By analogy) It indicates worry and grief due to bad news or failure in a matter.
Source: Signs in the Science of Expressions (Ibn Shaheen)
(By analogy) It is interpreted as worry and severing relationships.