Here's how I clean my cymbal.
Dissolve the cymbal in the water, add some vinegar and dishwasher liquid, and stir a bit.
Go practice or do whatever and leave it for an hour or two. The gunk and dirt, fingerprint, etc. will wipe right off. Towel dry for the fresh feel. Don't leave them in the water too long though, as the ink logo on your cymbal will be gone.
It will clean only one side, so you have to flip them and re do it if you want to clean both sides. This has saved me a lot of elbow grease and time and it won't harm your cymbal.