One of them is just a plant and can be destroyed with a Shears to provide a Rope,
The other acts like a hostile creature. It knocks out items from the players inventory when attacking, like a Frog, Poison Dartfrog or Piko. It also eats food left on the ground. It is neutral towards Wormwood.
Both kinds of Hanging Vines are renewable, after they are destroyed, a new one has a chance to spawn at the same location after about 2 days.
As their damage is low, one can simply place a high-stack item like Grass on the leftmost inventory slot and tank them. Placing a Food item nearby is another option, as Hanging Vines prioritize eating food over attacking, so players can attack them without retaliation. As a bonus, using this method can cause a chain of Leafy Meat dropping and causing others to head for it, allowing an easy clearing of hanging vines.
It is difficult to distinguish between plant Hanging Vine and mob Hanging Vine. However, the colour of mob Hanging Vine is brown-green and the colour of plant Hanging Vine is brown. One can also found that mob Hanging Vine has spikes and plant Hanging Vine has leaves.