I actually got my quieter than any TT I've ever heard. After fiddling with it, I every so carefully tightened the bolt that runs through the head until it still moves freely, but there is significantly less slop.
Here is the big secret I found.

Take a peice of moleskin about 1" and 1/2" wide. Pull the backing off of it and very carefully pinch the moleskin in the middle to make it stick together a little creating a ridge about 1/4" high. Stick this to your riser where the prongs hit and you're good to go. The little ridge really softens the landing of the prongs and is extremely quiet.
The thing that gets me is this. These rests are close 70.00 most places. I would expect them to be quiet right out of the box. I really feel TT can do much better than this.
On a side, IMO, the TT is one of the most if not the most accurate drop away made. I never shot as accurately or as consistantly as I have with any of the TT's I've had on various bows. I"m not sure what makes these rests any better for me than other rests, but I notice a difference.