Indeed, multiple news reports that the government has confirmed plans to introduce DST have been shelved.

https://caymannewsservice.com/2016/01/daylight-saving-time-plans-shelved
http://www.caribbeannewsnow.com/topstory-Daylight-saving-time-plans-shelved-for-the-Cayman-Islands-29071.html

Video:
http://www.cayman27.ky/blog/2016/01/public-pressure-puts-stop-daylight-savings-plan/



> To: tz@iana.org
> From: eggert@cs.ucla.edu
> Date: Wed, 13 Jan 2016 11:38:20 -0800
> Subject: [tz] Opposition to Cayman DST
>
> Currently tzdata is guessing that Cayman will introduce daylight saving
> time this year. This is not official, though. There is opposition in the
> Legislative Assembly, and if the LA rejects it we will need to update
> tzdata.
>
> Ragoonath R. Gov’t Daylight Savings Time plans to get resistance in LA.
> Cayman Reporter 2016-01-08.
> http://www.caymanreporter.com/2016/01/08/govt-daylight-savings-time-plans-get-resistance-la/