Here is another version of this song from the Theta Chi fraternity in 1972:

SECRET HAND SHAKE OF THETA CHI
(Tune - I've Been Working on the Railroad)

Take your girl into the corner
Where the lights are low
Place one hand around her bosom
And the other down below
When she starts to shake and quiver
That's the reason why
Tell her that's the secret hand shake of dear ol'e Thta Chi