What is a liquid that is not wet?

liquid nitrogen

Mercury

I imagine all liquids are "wet" as all solids are hard and all gasses are voporous. Let us not speak of plasmas.

Glass is a liquid that has lost its ability to flow

liquid, one of the three commonly recognized states in which matter occurs, i.e., that state, as distinguished from solid and gas, in which a substance has a definite volume but no definite shape.

wet,
in a liquid form or state: wet paint.
characterized by the presence or use of water or other liquid.

A product called "Sapphire" used in fire-fighting is a liquid "that is not wet".

http://www.technovelgy.com/ct/Science-Fiction-News.asp?NewsNum=94

Rock is a liguid that has lost its ability to flow (lava) just like glass. It is now known as a solid.

Depends on surface tension. Water gets wetter when a drop of detergent is added. (Put a drop of distilled water on a leaf, and then put a drop from a source with detergent added on a similar leaf. The detergented water will spread far more, while the distilled will remain as a little drop trying to avoid contact as much as it can - OK, being anthropomorphic there.) Wetness is a measure of how much attaches itself to other things dipped into it. Mercury doesn't appreciably, water does, but not nearly as much as syrup does.

lava