This happen due to conflict with other plugin that/those is/are using some other time-picker script, check your browser console for jQuery error and locate the script file that is causing the issue, try again after disabling that plugin, and get the latest version again from your My account-> Download area and replace with the newly downloaded plugin. Then enable the other plugin(s) you have disabled for checking purpose.

NB: If you copy was modified by support team based on your customization request then please contact support team at support@byconsole.com, if you overwrite your modified version with newly downloaded files then your customization will be lost and support team will not be liable for that.

It is recommended that you keep a safe backup before doing any changes.