Basically you’ll need to divide the same clip into three separate layers for the 3 color channels and set the top 2 to the ‘add’ mode. This will add the color channels together to rebuild the original image, with the important difference being that you can now animate each of the color channels separately. You can blur them, move them, scale them, displace them each individually. How you do this is largely determined by the effect you’re trying to achieve.
Another suggestion I have is to use the wiggle(f, a) expression, which you can read about in the AE documentation. I suggest that you link the frequency (f) and the amplitude (a) to slider controls so that you can dynamically change the amount of wiggle. The noise() function is good too, but may be harder to understand. I recommend reading the documentation here as well.
Also, instead of duplicating a footage item 3 times to produce the R, G and B layers, consider pre-comping the footage item, then duplicating the pre-comp 3 times. This way you can update the footage item in one place (the pre-comp) and your changes will be reflected in the RGB split composition.
Darby Edelen