After being seen once in Starsky’s Ridgeway house in “Running”, this lamp moves to Venice Place, where it stays in one spot behind the couch for the rest of the series, surviving the many attacks on the Hutchinson household. The shade seems to have been changed, but the base is definitely the same. (Left, on the long table in the middle of Starsky’s apartment in “Running”; right, chez Hutch in “Little Girl Lost”.)
Details of the lamp base are seen well in the close-ups in “Running”. I’m no expert in ancient Mesoamerican ceramics, but it has an Aztec pottery vibe to me. Maybe it’s just because of the teeth of that creature (or is it even a creature?) that’s depicted there.