Today, most studies about smoking talk about passive smoking, pollution effect and how to compare pollution effect to smoking intensity etc.
Now, what is considered as a light smoker by almost all studies starts about 3cigarettes/day. This is understandable since the pollution effect in crowded places or near highly exposed places is equivalent to 3-10 passively smoked cigarettes/day (see here for an article about air pollution effect near an Amsterdam freeway).
Your concern being about one cigarette/month, you can see it is truly negligible compared to air pollution concerns for example. That's why there are no studies about this.
However, one should acknowledge a last thing. Daily life, involving simple things such as walking under shining sun, exposes us to hazard. Our body is made to be adapted to it, and handles it fairly well (otherwise humanity would have already been annihilated by viruses, skin cancer etc). When one smokes, he increases the risk for his body to develop bad things. Even though the risk is much lower in that case (1cigarette/month), it is still present. It's a bit like playing lottery; if you play very often, well, you might win.