My bottle does the same thing. However, as an EdP, Geir is probably best dispersed over a larger area of your body than most frags. Just aim lower on your chest, or maybe aim slightly upwards so the overspray hits the nape of your neck.
In my opinion, the Geir atomizer puts out very little juice to begin with- even though there is some overspray, I think my bottle will last a long time.
Also- the Geir atomizer unscrews from the bottle, making it very easy to decant into another container of your choice.