Has anyone purchased a new one lately? Is it good quality? Any problems? Thanks.

Plenty of good used ones out there for sale...

As is with ANY new gun, some people have reported some problems.  
After a trip back to Marlin, any problems were fixed.

Marlin is in the process of being moved by the new owners, so if you have a line on one, you better buy it because there may be an gap between production while the move is made and they may be hard to get for a while.

Some people don't like the new Marlin because of the rebounding hammer and cross-bolt safety.
The rebound feature can be deactivated by following instructions you can find on rimfire central.

The rifle itself is still made the way it was in 1897:  From solid forged steel and American Walnut.  NO plastic, NO aluminum, NO zinc, NO painted-on finishes.
When you buy a Model 39, you're buying a rifle your great great grand kids will be fighting over.