Polish the clock case weekly with a good quality furniture polish or wax. Apply the polish or wax with a soft cloth and wipe the case clean with a second cloth. Howard Miller cautions against using products containing silicon. Wipe on the polish, rather than spraying it, to avoid getting wax on the glass.
Apply a non-ammonia glass cleaner to a soft cloth and wipe the glass. Don't spray the cleaner directly onto the glass, as this could result in damage to the finish from over-spray.
Wipe down the pendulum, weights and other brass parts with a clean, soft cloth. Avoid touching the brass with your bare skin. Don't use any cleaning solutions on these parts.
Oil the movement every two years. Contact a clock professional about having this done for you. Howard Miller does not recommend that clock owners oil the movement themselves.
Have the clock professionally cleaned every five to 10 years.