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to drink a couple of beers, or enough liquor to get you to the first stage of drunk...to start feeling the alcohol.
at that point you obviously drink more to surpass buzzed status.

this can also be used for weed...getting a little high, as opposed to getting ridiculously stoned.
"yo man i'm feelin' stressed, wanna catch a buzz with me?"

"if i drink this whole 40 oz i'm definitely going to catch a buzz!"
by pekingduck August 01, 2008