In the latest release of the Local Time App, we have added a new feature which allows you to see Local Time in list views (Leads, Contacts, Accounts, and Cases). Salesforce users can now sort and prioritize their call lists based on the local time. Thus in addition to having the local time in the detail page layouts, you can also have local time now shown in your list views.
We hope that you will find this new enhancement very helpful. We look forward to your feedback and comments!