Binding is a related term of compress.
As nouns the difference between binding and compress
is that
binding is an item (usually rope, tape, or string) used to hold two or more things together while
compress is a multiply folded piece of cloth, a pouch of ice etc, used to apply to a patient's skin, cover the dressing of wounds, and placed with the aid of a bandage to apply pressure on an injury.
As verbs the difference between binding and compress
is that
binding is while
compress is to make smaller; to press or squeeze together, or to make something occupy a smaller space or volume.
As an adjective binding
is assigning something that one will be held to.