According to Newsday, Nate Thompson did indeed get claimed by the Tampa Bay Lightning. Per Katie Strang:
Just saw Nate Thompson, rushing to get his gear and catch a flight. He got claimed by Tampa Bay. Best of luck to Thompson, who was a hard-worker, great teammate and an awesome person.I agree, but I think because there were just too many spots on this team, and Thompson having a two-way contract, he was the first to go. He will certainly be missed on the face-offs. Good luck to him.