Is there really a way to clean those crystals without removing them? Yes! Ensure that you switch off the chandelier and let it cool. To protect the furniture or the floor underneath, you have to cover them with plastic tablecloth to catch drips. Don’t spray cleaner directly onto the fixture because the cleaner can corrode the metal parts. Instead, wear a clean cotton gloves; spray glass cleaner on one and leave the other dry. You can then go ahead and go over each crystal with the damp glove, then wipe with the dry one.
Clean the cold bulbs too and never rotate a chandelier because the wiring can get damaged and you might get a shock.