Chimney mounting is a good thing. When putting masts together, stacking them up, even with guy wire, there is more wind convection being put on the antenna, because an antenna mounted close to the roof line gets better protection from the body of the house. All antennas move around, but one that's attached to a sturdy object fair better in the long run.
I grew up in an old house which had so many mounting possibilities, two chimneys and two vent pipes, which were cast iron. Needless to say I had antennas mounted on all four and they lasted through severe weather whereas my 40 foot mast mounted antenna didn't fair too well. Even though it was mounted with 2-by-4 backing interior to the house on steel brackets, it came down in two storms, and needless to say, I shortened it to just a 5 foot mast and it worked out nicely.
Always check the integrity of your chimney before mounting anything. If you know a mason, have him check it out, and maybe he can help out in the install process. Maybe a six pack to defray costs, chuckle, chuckle. Always have some extra help, and don't do it by yourself, you can get seriously hurt. And at all cost, avoid the power line drop to your house, a falling mast can kill you and anyone touching it. A short mast will do fine.