To clean or wipe something with a sponge.
Sponging can make people think of cleaning, washing, or getting something wet.
Examples:
She sponged the table to clean it.
I sponged the floor to make it shiny.
He sponged the car to make it look new.
The cat sponged the window with its tail.
I sponged the whole house in just one minute!
The boy sponged the wall and made a big mess.