I have a lot of slightly worn clothing clogging up the finished goods piles. In a fort as old as mine, which is around 30 years, it will overflow your storerooms.
Here is what I did. Make a gigantic stockpile that accepts finished goods and refuse. Turn off everything in the refuse menu and turn off everything except clothing in the finished goods menu. I set the number of bin to Zero. you won't need them. With about 100 haulers bringing scraps, the clothing will rot away before the stockpile fills up. Remove all of your other finished goods stockpiles, or just turn off clothing in their menus.
your dwarfs will bring everything in your fort to this clothing/refuse pile. It will rot and disappear now. When things are all done and the clothing coming in slows to a trickle, you can delete the stockpile and build 5 clothier shops. I Make mine right next to each other side by side left to right.
The first one makes one of every type of cloth "armor" on /R repeat Includes things like vests, robes dress, shirts, etc...
The 2nd one makes trousers only on /R repeat
3rd one makes caps and hood on /R repeat
4th one makes shoes and socks on /R repeat
5th one makes gloves and mittens on /R repeat
Do not create any new finished goods stockpiles for these new clothes. Let them stay in the workshop until it *CLT* then cancel the /R repeat order
Dwarfs will come and claim new clothing as their old stuff wears out.
Check the clothier shops every so often. You can look at the *CLT*. When it goes away, turn the repeat order back on for a while.
When you are once again swamped in a tidal wave of clothing around the entire fort, repeat Step 1 and make a new Clothing/refuse pile. Optionally do a Mass forbid across the 5 clothier shops so the new stuff doesn't get tossed into the trash, Make sure to Mass Claim them back after you finish and remove the refuse/clothing pile.
Once the next update arrives. This whole thing can be automated. Stockpile can draw from specific workshops only. So you can have a permanent refuse/clothing pile and a regular clothing pile that only accepts stuff from those clothier shops.