I found a damaged green barrel on a first person only server.
I added a damaged orange arm band and a damaged 100% full disinfectant spray bottle. No option to bleach clothes appeared. I tried scroll wheel in first person view and right clicking on the barrel while at the inventory screen. I tried with the barrel in my hands and on the ground. I tried with the lid opened and the lid closed.
Removed disinfectant and added red berries. No option to color clothes appeared. I tried the same steps with a grey hoodie and received the same negative results. So far, I haven't found a white t to test with.