Source: The Great Interpretation of Dreams (Ibn Sirin)
Escaping in a dream indicates salvation and security from fear. Escaping from death indicates the approach of one's end.
Source: Perfuming Humanity in the Expression of Dreams (Al-Nabulsi)
Escaping indicates repentance and returning to God. It may indicate gaining a position.
Source: Signs in the Science of Expressions (Ibn Shaheen)
Escaping is interpreted as salvation. Whoever sees himself escaping will be saved from worry.