E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
Browse his Jib (To).
A sailors phrase, meaning to drink till the face is flushed and swollen. The jib means the face, and to browse here means to fatten.
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The only correct form of the phrase, however, is to bowse his jib. To bowse the jib means to haul the sail taut; and as a metaphor signifies that a man is tight.