In-Depth From A.D.A.M. When a person with alcoholism stops drinking, withdrawal symptoms begin within 6 - 48 hours and peak about 24 - 35 hours after the last drink. During this period, the inhibition of brain activity caused by alcohol is abruptly reversed.Stress hormones are overproduced, and the central nervous system becomes overexcited.n-Depth From A.D.A.M. When a person with alcoholism stops drinking, withdrawal symptoms begin within 6 - 48 hours and peak about 24 - 35 hours after the last drink. During this period, the inhibition of brain activity caused by alcohol is abruptly reversed.