Chimneys as an architectural compliment, however only the good chimneys last and don't leak. I would have to guess on how many chimneys we costructed over the years, well in the hundreds.   

The best chimneys are built with quality materials  and with many details unseen, even if it’s simple in design.      Photo on right

Below are a few attributes to a long lifecycle

Quality Brick - water struck shown here

Quality brand mortar and mix type for material used.

Through width flashing

Absorption pan

Flue tile top copping expansion gasket

Fiber reinforced cement coping

Optional - Complimentary hood cover

Details -whether it’s obvious, or unseen

The image below shows a lead absorption pan being installed in a central chimney. This is a well worth added expense for the homeowner, when undergoing new construction.