A clean chandelier makes a bigger difference than you'd think. Here's the most effective method, plus the mistakes most people make.
Turn off the power to the chandelier at the breaker. Wait until the bulbs are cool to the touch.
Place a drop cloth under the chandelier to catch drips and any falling crystals.
Wear soft cotton or microfiber gloves -- one damp with cleaner, one dry.
Wipe each crystal with the damp glove, then buff with the dry glove. This is the safest method for delicate chandeliers.
For sturdy chandeliers, spray a glass cleaner solution lightly and let drip dry onto the cloth below.