Clothes or clothing are always countable nouns.
Clothing does not only refer to the clothes or clothing that is worn by people or sometimes domesticated animals, such as a blanket to keep racehorses warm.
Clothing also referee to a covering of a surface, we use this logic when referring to 'bed clothes' sheets and blankets that cover a bed. Also you can use this logic to say this "The grass was clothed in a blanket of white" meaning the grass was covered in/with snow.
You can use how much or how many depending upon the situation.
"How many clothes do you own/possess"
"Your room is disgusting! look how much clothing is scattered about the floor, clean it up now"
I'm sure you mom/mum might have said that to you when you were a child.
is clothing plural of clothes? no because clothes is already plural, and a single shirt will be referred to as 'clothes' in English. Or 'a shirt'.
If you were wearing only a shirt, natives would say take your shirt off, but if you turned up in drunken state in hospital; wearing only a shirt, a doctor might legitimately say, "remove your clothing we need to examine you"