He was a pupil to Otto Jahn (1813–1869) at the University of Bonn, then continued his studies at the Universities of Berlin and Göttingen. Due to poor health, from 1861 onward, he spent almost his entire life in Rome.
From 1873, he worked as an unpaid librarian at the Deutsches Archäologisches Institut in Rome. In 1878 he was editor of the "Corpus Speculorum Etruscorum" (project to publish all existing Etruscan bronze mirrors), a project begun by Eduard Gerhard (1795–1867), and after Klügmann's death, continued by Gustav Körte (1852–1917).
- Die Amazonen in der attischen Literatur und Kunst. (The Amazons in Athenian literature and art) Eine archaeologische Abhandlung, 1875.
- Etruskische Spiegel. (Etruscan mirror) Volume 5, Reimer, Berlin 1897.
- This page is based on translation of an equivalent article at the German Wikipedia, sources including: Biographisches Jahrbuch für Altertumskunde 3, 1880, S. 82–85.
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