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1. To bind or otherwise restrict the movement of a person or animal with chains. A noun or pronoun can be used between "chain" and "up." That poor dog is always chained up in the back yard. The guard chained the prisoner up before having him board the transport.
2. To securely close a room or building. A noun or pronoun can be used between "chain" and "up." Be sure to chain up the office if you're the last one to leave today.
chain someone (or an animal) up
to bind someone or an animal in chains. We will have to chain him up until the police get here. Please chain up your dog.
chain something up
to lock or secure a door or gate with chains. Please chain the gate up again when you come through. Yes, chain up the gate.