Yes, we do fix leaking chimneys. If you have a brick or stone chimney there is a very good chance that it may start leaking from this event. Porous materials will soak up water and once they reach a point of saturation they will begin to release that water. This is a very common issue when we have consistent rain for 2-3 days or more. The only thing that can be done to stop the leaks is to wrap the entire chimney in plastic or a tarp. Once the brick has been dried out it can be sealed.  There could certainly be a an issue with the flashing as well. However, if it didn’t leak before the storm there is a good chance it is a saturation problem and not a flashing issue.