Best time of day to take duloxetine?

Hi, mom!
The best answer to your question is that it depends on how you respond to the medication. Most people have few or no side effects but duloxetine can cause sleepiness/dizziness in some people and insomnia in others. Your clonazepam and duloxetine could interact and cause dizziness/drowsiness so it might be best to start by taking the duloxetine at night. Depending on why you're taking clonazepam you may find that as the duloxetine becomes more and more effective you may not need it at all.
Most people who write about their terrible experiences with a medication are obviously the minority who have/had a problem with it which is unfortunate but doesn't take into account the tens of thousands of people who respond very positively. Everyone responds differently to every medication so there's no reason to assume that you'll have a difficult time.
You have also been started on a low initial dose which may help minimize or avoid side effects all together as your metabolism adjusts to the drug.
Best regards and feel better soon!
Wildcat

"Nervous system
Very common (10% or more of users): Somnolence (up to 21%), dizziness (up to 17%)"
"Psychiatric
Very common (10% or more of users): Insomnia (up to 13%)"