I am dating someone and notice that they take cymbalta (duloxetine) and klonopin. What's this mean for long run?

It depends. Depends on why they're taking them. Cymbalta (duloxetine) is used for pain or depression. Clonazepam is used for psychiatric indications but also conditions like migraine and myoclonus. You say you "notice." Have you been snooping around in their medicine cabinet? What's this mean for long run?
It means. That they care enough about you to take care of themselves!