RNAs arising from intergenic regions
The term intergenic is more or less obsolete now. In fact it is ironical to say that a gene, which can give rise to a functional protein or an RNA, is expressed from an intergenic region. However the usage continues for both lncRNAs and miRNAs (other major type of ncRNA in metazoans1 - piRNAs have different classification). lncRNAs are vaguely classified as sense-overlapping (expressed in the same direction as a known gene but not completely overlapping), antisense (expressed from the antisense strand of a known gene) or intergenic; similarly miRNAs are classified as intronic or intergenic. 

It is not necessary that the intergenic RNA has to be strictly non-coding, it can be coding as well; a novel protein.

In all these cases the term intergenic means - not overlapping with a known gene. Better nomenclature is necessary as the field of genomics makes more progress. 

See this article.

1 Most metazoans.