Remove the Ring with Mayonnaise
Dip a clean soft cloth into some mayonnaise.
Rub the affected are with the cloth to apply a light coat of mayonnaise to it.
Allow the mayonnaise to sit on the stain overnight, at least eight hours.
Wipe the area with a clean cloth in the morning to remove the mayonnaise.
Polish the furniture with furniture polish to restore the shine.
Remove the Ring with White Vinegar
Mix white vinegar and cooking oil in equal parts.
Dip a clean soft cloth into the solution and wring it out well.
Rub the cloth over the area making sure to wipe with the grain if the wood.
Continue to gently wipe the area adding more of the solution as needed until the ring is gone.
Wipe the area with a clean soft cloth to dry it.
Polish the area with furniture polish to restore the shine.