Macromolecule levels in daughter cells after fission
Many years ago I worked in the field of bacterial chemotaxis, and your question brought this paper to mind:


  JL Spudich &amp; DE Koshland Jr. (1976) Non-genetic individuality: chance in the single cell. Nature 262:467-471.


The authors report an analysis of the chemotactic behaviour of individual bacterial cells from a single homogeneous culture. They find marked differences between individuals, and their favoured model is what they refer to as a Poissonian variation in the inheritance of key proteins that are present in small numbers.

According to ISI Web of Science this paper has been cited 241 times - presumably at least some of those papers might be about other more recent examples of this type of phenomenon.