We found one dictionary that defines the word drunk as David's sow:

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1. drunk as David's sow: Wiktionary

Definitions from Wiktionary (drunk as David's sow) ▸ adjective:  (simile) Thoroughly drunk. ▸ Words similar to drunk as David's sow ▸ Usage examples for drunk as David's sow ▸ Idioms related to drunk as David's sow ▸ Wikipedia articles (New!) ▸ Popular nouns described by drunk as David's sow ▸ Words that often appear near drunk as David's sow ▸ Rhymes of drunk as David's sow ▸ Invented words related to drunk as David's sow