I'm not when this Bi-Lo closed, but it's listed in the February 1997 phonebook and was gone by the mid 2000s. Actually, I'm not entirely sure it closed, as the Bi-Lo on Saint Andrews Road is fairly new -- perhaps it relocated to there.
It was apparently replaced by two stores, an A C Moore craft store in most of the space, and Total Wine in the rest.
There has been a fair bit of churn in this plaza (which fronts on both Harbison and Columbiana). Over the years I've featured Computer Renaissance, and Gold's Gym, but there are a number I never got around to.
UPDATE 20 May 2012: Added the store number and exact closing date to the post title based on information from commenters Andrew & Irmojeff.