I agree with Claire and I would add, "My conscience is bothering me about..."

1. "My conscience is uneasy." (Your suggestion) Classic, clear, and slightly formal. Implies general moral discomfort. Other Options: 2. "My conscience is bothering me." A common, straightforward way to express guilt or worry. 3. "I have a guilty conscience." The most direct and explicit way to say the opposite. 4. "My conscience is not clear." Simple negation. Less common than "uneasy" but perfectly understandable. 5. "I'm plagued by my conscience." A stronger, more dramatic statement, suggesting deep, persistent guilt.

I have something on my conscience. (Specific thing) is on my conscience. My conscience is not clear. I feel guilty (about ...). I feel responsible (for ...). I'm not blame (for ...).