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You might be interested to see the auction results for other Ancient Roman and Near Eastern alembics that have sold at auction. The serpentine shape to the sides suggests to me that this is probably 19th Century (https://www.liveauctioneers.com/search/?keyword=alembic%20glass&page=1&pageSize=24&sort=-relevance&status=archive)
Based on the photos and information provided, and subject to examination, this is:
An antique Isamic style cobalt blue glass alembic for medical cupping
possibly Israeli, Probably 19th Century
The bowl with serpentine side and rolled rim, with a tapered straight handle.
4 inches long, 2 1/4 inches diameter
CONDITION: with encrustation and some flaking throughout.
PROVENANCE: not original owner
*represents a fair-market value for auction purposes; retail or asking price may vary.
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