We prove that a tagged particle in asymmetric simple exclusion satisfies a central limit theorem when properly rescaled. To obtain this result we derive several results of positive (or negative) correlation for occupation times of a server in a series of queues which imply various central limit theorems.
"Central Limit Theorems for Infinite Series of Queues and Applications to Simple Exclusion." Ann. Probab. 14 (2) 397 - 408, April, 1986. https://doi.org/10.1214/aop/1176992523