All day sun on clover is generally not so good. It is shallow rooted, so, it gets stressed with too much sun and not enough moisture.
I'd disc in the lime, for sure.
But, yes, kill it off, and plan on another kill next spring. Old fields like this always have plenty of weed seeds in them, which, if you don't take care of, you'll be fighting them for a long time. If there was some sort of annual crop you could put in next spring or fall, might be a better idea. Then, plant a perennial in spring of 2012.
I'd disc in the lime, for sure.
But, yes, kill it off, and plan on another kill next spring. Old fields like this always have plenty of weed seeds in them, which, if you don't take care of, you'll be fighting them for a long time. If there was some sort of annual crop you could put in next spring or fall, might be a better idea. Then, plant a perennial in spring of 2012.