Short term the Pound will keep dropping as it will take time to figure out how the exit will be done. People who hate uncertainty will sell pounds for what they hope are more stable investments. Long term the Pound should recover and rise. If you are traveling there or buying say guns there, to bring back, the stronger dollar is like a sale price on what you buy.

The real question is how stable can the EU be in both the short and long term? Face facts if the most solvent countries leave the EU is doomed. Contracting economies are not stronger banning together, they need rising economies to bring them up as they grow. An EU without GB, Germany or France is just a mini UN of second and third rate countries. If you loose two out of those three it's all over. It all comes down to what happens next in the next two or three years. More exits will be bad but if none happen quickly the EU might survive in a weaker form.