Source: The Great Interpretation of Dreams (Ibn Sirin)
A saddle on a mount in a dream indicates a wife, authority, or travel. Placing it indicates marriage or gaining authority. Its falling indicates divorce or dismissal.
Source: Perfuming Humanity in the Expression of Dreams (Al-Nabulsi)
A saddle indicates a noble woman. Riding without one indicates humiliation.
Source: Signs in the Science of Expressions (Ibn Shaheen)
A saddle is interpreted as a woman or a position. Whoever sees himself riding with a saddle will attain goodness.