I really don't understand what the second way is because I know that he is viewed as a "Leech" because he is a doctor and doctors used leeches as a form of cure or medicine, I guess you would call it, but I don't think their is another way he is viewed unless I am mistaken.
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Initially the doctor is seen as a learned man but people are suspicious of a man who came from Indian country. As the book goes on, Chillingworth becomes bitter and wilted. The town sees him without the veneer of mystery. He becomes very evil looking. The term leach certainly could have to do with a medical practice using leeches. I think Chillingworth is a leech himself. He leeches the life out of Dimmesdale slowly.