I tend to meet famous people in the passenger area at the airport rather than on elevators.
About 20 years ago I met then-Congressman, now Senator Bernie Sanders in the waiting area by the gate at the Burlington, VT International Airport when I dropped my wife off for her flight to Washington DC. He was very cordial and polite. He appeared to be quite China passenger elevator company accessible, but I held back because I didn't want to disturb him any further after we exchanged greetings. (I've been kicking myself for that ever since.)
In the spring (April? May?) of 1968, I met NY Senator Robert F. Kennedy at the Grand Rapids International Airport (now Gerald R. Ford International) after he made a campaign stop in Grand Rapids, MI. I was 13 years old at the time but I was already a budding politics geek as well as a big Kennedy fan. I greeted him and shook his hand. After shaking hands with me, my father, and the rest of the crowd that had gathered to see him he was quickly hustled onto his plane by his staff and took off shortly afterward. The encounter lasted about 15 minutes.
Both encounters were very brief and neither was terribly consequential, but they remain vivid in my memory and I will always treasure them. Both are huge heroes of mine.