Timezone Widget provide the current time in different time zones. Some of the times available are Central Standard Time (CST), Pacific Standard Time (PST), Eastern Standard Time (EST), Mountain Standard Time (MST) and Indian Standard Time IST. If you need additional timezones please let me know. I will include them too.
It's secure to download the app. Shasunder is the developer of Timezone Widget that can be found in the Business category. The tool was downloaded and set up by over 5K users and the latest stable release was on Dec 6, 2012.
This application has been rated 3.8 on Google Play. You can get the installer of Timezone Widget 1.0 for free and have a look at users' reviews on Droid Informer. The app works fine on Android 1.6 and above.