What could a mostly dry cough that produces thick green mucus each morning be for a smoker?

Bronchitis or other: Upper respiratory tract inflammation. Cigarette smoke paralyzes the tiny hairs on the lining of your airways, so that they cannot sweep out the secretions normally. It also has negative effects on other protective upper airway mechanisms, so it is not surprising to have a smoker's cough, and chronic low grade bronchitis. Why don't you or whoever you are talking about stop smoking?

Chronic bronchitis..: This could be chronic bronchitis, a form of copd. It occurs mostly in smokers and is not due to infection. You would need to be seen by your doctor and have pulmonary function tests to diagnose this entity. There is no cure but there are treatments available. The most important step to slow disease progression is smoking cessation and your doctor can also help with this.