This is a small and terribly obvious point as soon as you think about it. We all know that a statuette is a little statue, and a kitchenette is a little kitchen; but it's somehow much less obvious that a cigarette is just a little cigar.
That's because we pronounce cigar si-GAR; but we pronounce cigarette sigar-ETTE, with the stress moved away from its home syllable. So they don't immediately suggest each other.
This is the same thing that happened with excellent, pasteurised and lousy, which I wrote about in this old post.
Also, if smoking's so bad for you, why does it cure salmon?