Clean adhesive off leather furniture?

I got a fantabulous deal on a leather office chair at the fixture sale of the close-out at the State Street Carson's department store. Now I take those sticky markdown labels off & there is adhesive remaining. I called my leather drycleaner & they said adhesive is the worst & takes off a top layer of the skin (leather) with the pigment dye. They have no recommendations for merchants that do this or for home remedies. Ideas?