Micro fiber cloth towels have replaced terry cloth and diapers as the preferred towels for glass cleaning/drying, dusting, wax removal and a host of other detail related cleaning tasks.
The one thing that micro fiber cloths and towels should not be used for is cleaning with harsh chemicals like body solvents, degreasers and lacquer thinners. Save these tasks for shop rags.
Care must also be taken not to cross contaminate the towel with materials that can stick to the towel like metal shavings or debris from the floor. Micro fiber is great for what they do, but they are like a magnet.