1 general:: Become intoxicated; go on a drinking spree. For example, They went out and really tied one on. The precise allusion here?? what it is one ties onis unclear. [Slang; mid-1900s]
American Heritage Idioms
2 general:: Phrase(s): tie one on [and] hang one on; lay one on; tie it on Sl. to get drunk. • The boys went out to tie one on. • They laid one on, but good.
McGrawhill's American Idioms And Phrasal Verbs