Most listings are in the $10's per square foot per year. The Fall River submarket is seeing a a rise in rates. In the last 3 months, the median rate rose $16 per sqft per year.
Compared to the rest of the Greater Boston market, the Fall River submarket has lower rates, so you should have no trouble finding a great deal in this discounted submarket.
In the last 90 days, 19 listings have come on the market, which means new availabilities most likley are going fast. You'll want to be prepared to tour spaces as quick as possible. There aren't many listings below 2,000 square feet posted, so finding a space for a small business might be tough.
The standard measurement for office space in this area is around 2,500 sqft. Most buildings in this region are approximately 2 floors. Most buildings in this market were built in 1900 and are Class C.