To smoke cigarette after cigarette, lighting the next one from the current one (1900s+)
The Dictionary of American Slang, Fourth Edition by Barbara Ann Kipfer, PhD. and Robert L. Chapman, Ph.D. Copyright (C) 2007 by HarperCollins Publishers. Cite This Source
Idioms and Phrases with chain smoker
chain smoker
One who smokes continually by lighting a new cigarette from the one being finished, as in Before they forbade smoking, bridge tournaments often attracted players who are chain smokers.
[ c. 1930
]