I tested out a few ideas, and the bulk velcro from JoAnn Fabric and this amazing pen (Amazon link provided) have helped organize the talking a ton.
I used a small piece of the rough side and wrote each student's name on the back of it. The rough velcro sticks perfectly to my classroom carpet.
I assigned each kiddo a carpet spot and set the expectation that their back pockets are to remain on the their name spot at all times. I made sure that each student was sitting next to their reading buddy, thus eliminating Pair Share troubles. The velcro has made it so convenient to move kiddos around as need be.
What do you do to help eliminate and organize your chatty kiddos?