coil around (someone or something)
To twist around someone or something. A reflexive pronoun can be used between "coil" and "around." The explorer froze when he felt the snake coil itself around his leg. That vine is now coiling around the tree—is there any way I can move it?
coil (itself) around someone or something
[for something or an animal] to wrap itself around someone or something. The monkey's tail coiled itself around the branch. The huge python coiled around poor Roger.