Cigarrette slang term for a ciggarette.
This is either because sixty sounds like cig, or because you can use the word like a cig break- a sixty second break.
A person, usually a man, who possesses the ability to perform sex without orgasm for a full sixty minutes, often much longer. Comes from the song "Sixty Minute Man,' recorded by the Dominoes in 1951, and numerous other artists since then.
Sixty minute men are very popular with women who appreciate prolonged lovemaking.