Conn. Gen. Stat. § 22-352: Change of residence of owner.

Any dog licensed as provided in this chapter may be kept in any town in this state under such license until the June thirtieth succeeding the date thereof, if the owner maintains a residence in the town where such license was issued. If any owner discontinues such residence and takes up residence in another town, he shall present the license and tag to the town clerk of such town and, for a fee of fifty cents, the town clerk shall issue a new license and tag for the town in which the owner now resides. Such town clerk shall retain the old license and tag in his possession.