A quick pubmed search of `("cluster headache" OR "migraine") AND ("dmt" or "dimethyltryptamine"), 14 results, has nothing relevant.
Not all truth is published -- but I frequently see poor claims of using psilocybin ("magic mushrooms") to treat migraine/cluster headache, of which, the clinical effects are potentially dubious [0], [1], [2], [3], [4], [5] in particular which I believe to be an effect driven by the desperation for treatment [6], [7] when nothing else has worked.
[0] https://pubmed.ncbi.nlm.nih.gov/22129843/ [1] https://pubmed.ncbi.nlm.nih.gov/33184743/ [2] https://pubmed.ncbi.nlm.nih.gov/35718005/ [3] https://pubmed.ncbi.nlm.nih.gov/16801660/ [4] https://pubmed.ncbi.nlm.nih.gov/36597700/ [5] https://pubmed.ncbi.nlm.nih.gov/36416492/ [6] https://pubmed.ncbi.nlm.nih.gov/28870224/ [7] https://pubmed.ncbi.nlm.nih.gov/30290701/
I get really worried about people suggesting psychoactive drugs with no clinical proof for it :(