Hello,
Thank you for the consult :
Yes, you should be taking the Cymbalta 60mg same time each day. Cymbala (Duloxetine) is usually delayed release preparation. This will allow the medication to stay in your system in a continuous manner, till you take the next dose. This will give the best results and decrease the incidence of any possible side effects.

By taking it in regular intervals, you will ensure that the there is constant level of medication delivery. This will avoid any spikes (due to overlap) and dips. Another advantage is that there is less chance to miss a dose if you take in regular intervals.

Hope this helps.
Please feel free to ask followup questions, if any. Thank you.