>>863 It's very hard to tell, but I think he starts off with a cup in his left hand. He is doing something with his right hand (?holding a cigarette). He then switches the cup to his right hand so he can hold TS's hand with his left hand.

I guess a smoker could hold a cup and a cig in his right hand - I just think it's not likely in a no smoking venue. But hey, we still don't know who shot Kennedy so I am speculating here!