I noticed this building a few weeks ago when I saw the realty sign, and really couldn't ever remember seeing it before though it has obviously been there for years.
There doesn't seem to be a street number anywhere on the front of it, and looking for the realtor info seems to lead to it being part of the adjacent Grice's property, which I'm pretty sure is wrong as my mother took me to Grice's a number of times and I don't remember any larger building being involved.
It has a large antenna attached, so it may have possibly been a dispatch location at one time. Any ideas?
UPDATE 20 June 2011: Commenter JB turned up the address for this lot, so I have changed the post title to give it as 1943 Huger Street rather than just "SW Corner of Huger & Senate". Also, with that address I have been able to turn up a bit more info and have added two businesses to the post title instead of just "Building".
First, here is the LoopNet sale listing indicating that the property is being sold as a warehouse.
Next, here is a link from the Secretary of State indicating that this property goes way back and that Barnett Tire & Battery company opened on the site in 1920(!) and was only "dissolved" in 2005. Now just because nobody bothered to formally dissolve the company before then does not mean that it was necessarily a going business to that point, but the fact that there seems to have been a good bit of activity in 2005 makes me think it may have lasted until then.
Also in 2005, Congaree Delivery Service filed for a certificate to be an in-state mover (at least that's what I get out of that PDF).
And finally in 2005 City Council declined to rezone the property so that a religious organization could set up there. I'm not sure if I understand the timeline here though, as the council meeting was in mid-Sept 2005 and Congaree was awarded its certificate in mid-Jan 2006. Unless they planned to share the building with the religious organization it doesn't seem to make sense. (Also the reasons given for denying the rezoning look pretty tenuous).