Source: Tafsir al-Ahlam al-Kabir (Ibn Sirin)
The chain in a dream indicates religion, a righteous wife, or a child. Whoever sees himself bound by a chain is steadfast in his religion. It may also indicate worry and sin.
Source: Ta'tir al-Anam fi Ta'bir al-Manam (Al-Nabulsi)
The chain indicates torment and worry. Whoever sees himself in a chain will fall into hardship. A chain on the neck is a debt or a trust.
Source: Al-Isharat fi Ilm al-Ibarat (Ibn Shahin)
The chain is interpreted as sin. Whoever sees himself breaking a chain is repenting from a sin.