Localtime Wordpress Plugin is used by 5 websites. Among 5, 0 site is within top 10,000 and 0 site is within top 100,000 websites.
Wordpress Plugin Information of
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Check out one of my sites to try it yourself. All of the dates and times on the site are GMT+0 but will be displayed in your timezone once the page is fully done loading.
Wordpress Official Plugin Repository