Source: Tafsir al-Ahlam al-Kabir (Ibn Sirin)
Running in a dream indicates eagerness in seeking the world and salvation from fear. Whoever sees himself running away from an enemy will be saved and feel secure. Running on an animal is a quick journey.
Source: Ta'tir al-Anam fi Ta'bir al-Manam (Al-Nabulsi)
Running is fleeing from a frightening matter or striving for an important matter. Running in a known place indicates a noble race. Whoever sees himself running and unable to stop will have a long life.
Source: Al-Isharat fi Ilm al-Ibarat (Ibn Shahin)
Running is interpreted as speed in fulfilling needs and salvation from perils. Whoever sees himself running on his feet is striving quickly to seek sustenance.