Source: The Great Interpretation of Dreams (Ibn Sirin)
(By analogy with riding and moving) A bicycle in a dream indicates striving for a worldly matter. Its speed indicates the speed of achieving the goal. Falling off it indicates stumbling and failure.
Source: Perfuming Humanity in the Expression of Dreams (Al-Nabulsi)
(By analogy) A bicycle indicates a change in condition or a short journey.
Source: Signs in the Science of Expressions (Ibn Shaheen)
(By analogy) A bicycle is interpreted as worry. Whoever sees himself riding one will be afflicted with worry.