General:
* Moist
* Damp
* Soggy
* Humid
* Waterlogged
* Drenched
* Soaked
* Saturated
* Spongy
* Slick
Descriptive:
* Dewy
* Dripping
* Leaky
* Muddy
* Rain-soaked
* Sprinkled
* Sweaty
Figurative:
* Teary-eyed
* Overflowing
* Overwhelmed
Technical:
* Hydrated
* Aqueous
Informal:
* Dampish
* Mushy
* Slippery
* Gushy
* Gloppy
The best word to use will depend on the specific situation and the effect you are trying to create.