It's obvious that people in the Senate or people with political power would be considered of higher status, while ordinary plebs, such as farmers, would have a lower status. However, where exactly would specialized workers, such as blacksmiths, jewelers etc. have fit in society? Would they have had more/less privileges or around the same as another social class?
There were essentially 3 classes of Roman -
Patrician, an elite wealthy group of families, who mostly formed the senate
Plebeian, free land owning citizens, some with a right to vote, some without depending on whether they lived in Rome or outside it and
Slaves, who were considered property and had no rights.
Specialised workers therefore could have fallen into either of plebeian or slave. Plebeian if they worked for themselves and slave if they undertook the work on behalf of an owner.
Privilege was earnt by right of status and/or wealth rather than what work you undertook.
The wealthier you were the more status and influence you would have and this characteristically brought wealthy non-patrician plebeians into conflict with less wealthy patricians.