The phrase "tight swaddle" refers to securely wrapping a baby in a blanket or cloth to keep them warm and provide a sense of comfort and security. Full definition
Muslin swaddles are also nice and large which means that you can get a really nice, tight swaddle with them, even when your baby starts getting bigger! (clothdiapergeek.com)
Additionally, the elasticity allows for some movement of the baby, but this will be dependent on how tight swaddle the baby. (bestswaddleblanket.com)
Also, for those who say there was just too much stretch, they do make different «levels» of swaddle — the Houdini is a much tighter swaddle than their original. (rookiemoms.com)