Are there any fluids which are both viscous and volatile?
Volatility and viscosity are 2 properties going each against the other.

A volatile liquid has rather small molecules a/o  rather weak intermolecular bonds.

A viscous liquid has rather big molecules a/o  rather strong ( often multiple ) intermolecular bonds.

A partial solution to the task is to have composite liquid, a volatile liquid mixed with either viscous liquid ( e.g  glycerine),
either with dissolved thickener ( like polyvinylalcohol or vaseline/wax )