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Related to bind up: On a par
To wrap something or someone in a material. A noun can be used before or after "up." I bound up my foot in a bandage to try to reduce the swelling. Bind yourself up in blankets if you're cold.
bind someone or something up (in something)and bind someone or something up (with something)
to tie someone or something up in something. They bound the books up in leather straps. I will bind up the larger sticks in strong cord.