Purity: Touching the Qur’an with Continuous Incontinence
Practical Laws of Islam as per the teachings of Ayatullah Sistani
Ruling 310:
If urine or faeces are discharged continuously, it is permitted for the person – after he has performed wuḍūʾ – to touch the writing of the Qur’an even if he is not in the state of performing prayers.
-Ayatullah Sistani, Practical Laws of Islam, Purification (Taharah)