It's a semi-lawless land, used sometimes as a hiding spot for criminals, assassins, etc. Gun trafficking is at home there. When on bike, I managed once to pass the border without being checked (and I didn't notice I didn't have my papers with me, I almost got stuck in there) - you're basically at the whims of the border patrols.
There are a few villages that belong administratively to Republic of Moldova (I visited Coșnița [coshnitza] with a friend, that is one such village) - this state of affair came with great cost of lives, and people there still remember the price they paid. Tensions sometimes get high - in 2012 a drunk guy was shot and killed by the border patrol, as he was traversing the bridge - people were literally picking up forks and scythes to avenge him [ http://www.ziare.com/europa/moldova/moldovean-impuscat-de-ru...]
And a 1000 left their lives that this small strip of land can exist. https://en.wikipedia.org/wiki/Transnistria_War