He looked down at the handshake. Remus didn't know why he was shaking it, but he was. Even though he was half Muggle, he grew up in the Wizarding World. He was shaking his hand though, because he wanted to touch him again. He wanted to feel something of Severus on him. He didn't know how powerful that want was, but a handshake would satiate him for now.

"You're you, Severus. That is a good enough reason for me." He said with a small smile. Remus had already seen Snape at his worst, and while he could be cruel and somewhat horrible, Remus was willing to take him as is - as long as he respected him.