Report Abuse. 1  How Long Do Anchovies Last. 2  i've got had opened anchovies in my refrigerator for a pair of months the open can sealed in a baggie. 3  Kept in the fridge they have a long shelf life, up to months.  it lasts 2 minutes then all these germs and clear mold get on it and when u eat it the germs eat ur nose hairs!