Quintus Fabius Clodius Agrippianus Celsinus was proconsul of Caria in 249. He was the son of Clodius Celsinus and his wife Fabia Fuscinella, paternal grandson of Marcus Clodius Macrinus Hermogenianus, and great-grandson of Marcus Clodius Macrinius Vindex Hermogenianus, a proconsul of Africa c. 200. His wife was Laberia Pompeiana. His maternal grandparents were Quintus Fabius and wife Fuscinella, daughter of Publius Seius Fuscianus, consul in 151, praefectus urbi from 187 to 189 and suffect consul in 188.