Most of the time when a ball club moves from one stadium to the next, they bring something from the old stadium to the new.
I think the twins brought some of the dirt from the Dome infield to Target field, but really, there was not a whole lot anyone wanted to remember about the dome.
There were efforts however to try to find something from the met to bring along as well. Sadly, not much of anything was left from the met to bring into the new stadium. The only substantial piece from the beloved structure that did make the time travel was the flagpole which had been biding it's time at the American Legion in Richfield.