Steven

Connections Business Directory Local Time extension is a remix of the fantastic <a href="https://wordpress.org/plugins/jclocksgmt-wp/" rel="ugc">jClocksGMT World Clocks plugin</a> 
that has been custom tailored for use with Connections Business Directory.
How does it work?
The local time zone is calculated from the latitude/longitude of either the first or preferred address from the entry in Connections Business Directory. 
The latitude/longitude is then used to determine the time zone and the UTC offset in which the address is located using the Google Maps Time Zone API.
With that information determined automagically, a clock is displayed in the the theme’s sidebar showing the local time of the 
current entry being viewed.
Features:
<ul>
<li>Automagically determines time zone and UTC offset using the latitude/longitude of either the first or preferred address from the entry being viewed.</li>
<li>Customizable widget.</li>
<li>Analog clock with 5 skin variations.</li>
<li>Digital clock with custom time formatting.</li>
<li>Display the local date with custom date formatting.</li>
</ul>
Here are some other great free extensions (with more on the way) that enhance your experience with Connections Business Directory:
Utility
<ul>
<li><a href="https://wordpress.org/plugins/connections-toolbar/" rel="ugc">Toolbar</a> :: Provides quick links to the admin pages from the admin bar.</li>
<li><a href="https://wordpress.org/plugins/connections-business-directory-login/" rel="ugc">Login</a> :: Provides a simple to use login shortcode and widget.</li>
</ul>
Custom Fields
<ul>
<li><a href="https://wordpress.org/plugins/connections-business-directory-hours/" rel="ugc">Business Open Hours</a> :: Add business open hours.</li>
<li><a href="https://wordpress.org/plugins/connections-business-directory-income-levels/" rel="ugc">Income Level</a> :: Add an income level.</li>
<li><a href="https://wordpress.org/plugins/connections-business-directory-education-levels/" rel="ugc">Education Level</a> :: Add an education level.</li>
<li><a href="https://wordpress.org/plugins/connections-business-directory-languages/" rel="ugc">Languages</a> :: Add languages spoken.</li>
<li><a href="https://wordpress.org/plugins/connections-business-directory-hobbies/" rel="ugc">Hobbies</a> :: Add hobbies.</li>
</ul>
Misc
<ul>
<li><a href="https://wordpress.org/plugins/connections-business-directory-face-detect/" rel="ugc">Face Detect</a> :: Applies face detection before cropping an image.</li>
</ul>

Connections Business Directory Local Time

Of course I think this is a 5-star plugin!

Shameless self review.

An extension for Connections Business Directory which adds the ability to show the local time of a business or an individual based on their address.

IP2Location

Simple widget to display analog or digital clock on your website without much hassle. IP2Location world clock gives you a range of different clock designs which is absolutely free. Supported local time, visitor’s time and custom time zone selection.
<h4>Features</h4>
<ul>
<li>World clock widget enable you to easily embed into your website in anywhere</li>
<li>46 different clock designs to choose from and the list is still growing</li>
<li>3 option of time selection (local time, visitor’s time and custom time zone).</li>
<li>Support 12 hour or 24 hour time format for digital clock.</li>
<li>Can be added via shortcode [ip2location_world_clock], please refer FAQ section for shortcode parameters.</li>
</ul>

IP2Location World Clock

Simple world clock widget to display analog or digital clock for multiple time zone on your site. Supported local time, visitor's time and custom …

Connections Business Directory Local Time vs IP2Location World Clock