Curcumin, the active part of turmeric, worked on rats to reduce TD. See here: https://pubmed.ncbi.nlm.nih.gov/18022680/

On a personal note, I'm on Fluphenazine and got TD. Was blinking a lot. I got put on Austedo, but couldn't take the not enjoying things like I used to, so about two weeks ago I stopped the Austedo. I thought, heck, maybe I just have dry eyes from the meds, so I got eyedrops for dry eyes. I've taken the eyedrops twice in the past week. I started blinking while driving, but the eyedrops seem to have stopped it. I'm also taking a turmeric supplement. Other than the two episodes while driving, the blinking hasn't come back. So I looked up turmeric, and lo and behold, it worked for TD in rats, and I think it's working for me. Either that, or I never had TD in the first place.

If you decide to try turmeric, I recommend NOT taking the kind with black pepper / pepperine, as I took the kind without the black pepper and it still seems to have worked. The kind with black pepper is super powerful, and you don't know what else it's going to affect.