I too have been frustrated with no longer being able to copy new emoticons with the app but I figured out a work-around. Copy the website link to safari web browser then pull up the gif you want to copy. Hold down on the image for a couple seconds and the copy you used to get in the app will appear. Simple copy and go back to the app and paste like you normally would.
Aceyjducey about Animated Emoticons™ for MMS Text Message, Email!!!