How to delay frames.

So, this is a tough question. I wanna make an animation where a guy is watching tv that is displaying the all animation, something like Inception where he’s watching him-self over and over again.
For this a put everything in a group and inserted it twice in the composition. My problem is that I want the animation in the television to have some delay so that the stuff happens some seconds after.
Is there a way of delaying the frames with an effect or something, in a way that I don’t have to duplicate the group and every change is applyed to the animation and the animation on tv.