Lime is a general term for inorganic materials containing calcium

Lime (material), a general term for inorganic materials containing calcium, usually calcium oxide or calcium hydroxide
Calcium oxide, aka burnt lime or quicklime
Calcium hydroxide, aka slaked lime, slack lime, pickling lime or hydrated lime
Agricultural lime, a soil additive
Hydraulic lime, used to make lime mortar
Lime water, saturated calcium hydroxide solution

A desiccant is a hygroscopic substance that induces or sustains a state of dryness (desiccation) in its local vicinity in a moderately well-sealed container.
Commonly encountered pre-packaged desiccants are solids, and work through absorption or adsorption of water, or a combination of the two. Desiccants for specialized purposes may be in forms other than solid, and may work through other principles, such as chemical bonding of water molecules.
Pre-packaged desiccant is most commonly used to remove excessive humidity that would normally degrade or even destroy products sensitive to moisture. Some commonly used desiccants are: silica gel, activated charcoal, calcium sulfate, calcium chloride, montmorillonite clay, and molecular sieves. Silica gel is often used in musical instrument cases.

From:http://www.dryer-drier.com/products/Lime-Desiccant-/