There are idiots that will find a way to damage anything that they take the screws out of. No, cleaning out an amp is not rocket science. Take it apart, clean it without breaking it, and reassemble. There are common things that can damage systems. Spinning fans with air is a fun thing to do. Yeah, I've done it. However, a couple things can happen. One, the high speed of the fan can indeed cause bearing damage. Not likely with a couple seconds of spinning, but you'll shorten the life of the fan if you do it regularly. A bigger problem though, is on some fans, spinning the blades can turn the fan into a generator, sending voltage back out into the driver circuit. When the fan spins at ridiculous speeds, the back voltage can be quite high.
Using compressed air can cause damage in a couple ways. First, if you just use a regular air compressor, the compressed air will have a high humidity content, to the point of spitting moisture out of the hose. You can see the obvious problem with that. Secondly, compressed air can force dirt and debris into areas that you can't get it out. eg, air getting forced into the pots will cause dirt to get inside, and static sound results. Also using too high of pressure can cause component damage from the force.
Using a vacuum works, but is often less effective than compressed air. Using a vacuum doesn't cause any more static than compressed air does. The difference is that a typical vacuum hose is plastic, which doesn't dissipate the static energy anywhere. Using an anti-static hose on the vac will eliminate that problem. You could mod your own simply by wrapping some tinfoil around the hose opening and grounding it. Obviously make sure the amp is powered down when using it so you don't short anything out.
If you use a brush with compressed air, or the vac, make certain that the brush is an anti static brush. Older amps aren't going to be as sensitive to ESD as new ones with DSPs built in, but it's good practice to be ESD safe any time you're inside your gear.