The term 'shook hands with, say' can be solved by two crossword solutions: GREETED (7 letters) and MET (3 letters). Shaking hands is a common form of greeting in many cultures, and is often used to signify a meeting between two people. It is a gesture of respect and goodwill, and is often accompanied by a verbal greeting such as 'HELLO' or 'nice to meet you'. By shaking hands, two people are symbolically saying that they are willing to cooperate and work together.