see sb. off直译过来就是：“看到某人离开”，这个短语的正确意思是：“为某人送行”。因此，当美国人说"Thank you for coming to see me off."时，他/她要表达的意思就是:"Thank you for your coming and saying goodbye to me."、"Thank you for giving me the send-off."。
Benjamin: Thank you for coming to see me off.
Terry: Take care and come back soon.
①I can't wait until we work together again.
②Well, have a nice trip and give my best wishes to your wife.
③I'm glad to have cooperated with you for two years.
④I'll see you around.
cooperate vi. 合作
The plan failed because the soldiers refused to co-operate.
The UN had been co-operating with the State Department on a plan to find countries willing to take the refugees.
The couple spoke about how they would co-operate in the raising of their child.