Orzammar's poor district where the "casteless" live is known as Dust Town. The old palaces of Orzammar were located here but now it is only ruins. The dwarves living here have been so marginalized by society that they don't officially exist in city records. Here you may engage in smuggling, track down a thief, deal with a gang, or help the poor. Thieves and beggars make their homes here, since they have no caste and are thus not allowed to engage in activities that are reserved for the upper castes by law.
Idle Dwarf: This dwarf is handling nugs, he can capture and sell them to The Warden, it's possible to get a Cute Nug from him, a perfect gift for Leliana.
Nadezda: She is a poor woman who had her kneecaps broken and is now begging for some coin. If The Warden helps her out with some, she can tell quite a story.
Rogek: He is offering The Warden a chance to buy and smuggle Lyrium; talking to him and getting the lyrium opens up the quest Precious Metals. You can persuade him to reduce the cost to increase your profit margin. You can also try to turn him in, causing him to attack along with a few thugs.
Dust Town Thug Leader (Dwarf, Lieutenant, Warrior). The Dust Town Thug Leader and a couple of thugs are waiting in front of the Dust Town. As soon as you near them, even in stealth, they will all attack the party.
Cute NugCute NugGift The nug's nose twitches as it stares at the world with clear inquisitive eyes. It seems to enjoy being stroked. , source: Idle Dwarf.
Most of the casteless dwarves will have different things to say after the second task of A Paragon of Her Kind quest is completed and once again after Orzammar has a new king.