Yes, you should. It is also important to clean them after every use. Along with that, driving with tire chains on bare pavement can cause significant damage to both the road and your tires. If the roads become dry before you reach your destination, you will want to pull over and remove the chains before continuing the drive.
Even if it is set to snow for many days in a row, it is a good idea to remove the tire chains after every use to clean them. This will keep them in good shape and prevent unnecessary and avoidable damage.
To prepare for installing and removing tire chains in the heat (or, more accurately, the cold) of the moment, we recommend doing a “practice run.” Practice both installing and uninstalling the tire chains at home until you feel comfortable with the process.