You are probably thinking of the Caduceus of Mercury, a Roman symbol used to represent Medical organizations.
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The caduceus is the traditional symbol of Hermes and features two snakes winding around an often winged staff. It is often mistakenly used as a symbol of medicine instead of the Rod of Asclepius, especially in the United States. The two-snake caduceus design has ancient and consistent associations with commerce, eloquence, trickery, and negotiation. Tangential association of the caduceus with medicine has occurred through the ages, where it was sometimes associated with alchemy and wisdom.
The modern use of the caduceus as a symbol of medicine became established in the United States in the late 19th and early 20th century as a result of documented mistakes, misunderstandings and confusion.note a[›] Serpent