eh, well, chloroform is considered to be an organic (nonpolar) solvent. It has low solubility in water (they aren't miscible, it's something like 8 mg/mL in water, which isn't very high). Now, that being said, chloroform has weak polarity, and thus it will dissolve some moderately polar molecules. For example, methanol is much more soluble in chloroform than water is (I don't think they're miscible, but I've definitely had 15% methanol in chloroform which is a lot more soluble than water).
So, basically, by virtue of the fact that chloroform is not miscible with water, it is an organic solvent. However, because chloroform does have some polarity, it can dissolve compounds ranging from moderately polar to moderately nonpolar. As a matter of fact, deuterated chloroform is the most commonly used NMR solvent because it's cheap, and because it will dissolve most compounds you'd be taking an NMR of (and also because, if you don't have very much of your sample, you can dissolve it up in the deuterated solvent, take the NMR, and then easily rotovap it off).