The transcription repressor BCL11A, which governs the switch from fetal to adult hemoglobin during development, is the target of the first FDA-approved CRISPR/Cas9 gene-editing therapy in humans. By targeting BCL11A, fetal hemoglobin expression is de-repressed to substitute for defective adult hemoglobin in inherited diseases including beta-thalassemia and sickle-cell anemia. BCL11A has six CCHH-type zinc-fingers of which domains 4-6 are necessary and sufficient for dsDNA binding. Here, we focus on the CCHC-type ZNF at the N-terminus of BCL11A (residues 46-72), Z0, thought to modulate oligomerization of the transcription repressor. Using NMR and CD spectroscopy, Z0 is shown to be a thermostable CCHC zinc-finger with a pM dissociation constant for zinc. The NMR structure of Z0 has a prototypical beta-beta-alpha fold, with a hydrophobic knob comprising about half the structure. The unusual proportion of hydrophobic residues in Z0 led us to investigate if this is more general in zinc-fingers that do not bind dsDNA. We used the ZF and WebLogo servers to examine sequences of zinc fingers with demonstrated DNA-binding function, non-binders, and the CCHC-type family of protein-binders. DNA-binders are distinguished by contiguous stretches of high-scoring zinc-fingers. Non-DNA-binders show a depletion of polar residues at the positions expected to contact nucleotides and increased divergence from sequence consensus making these domains more likely to be annotated as atypical, degenerate, or to be missed as zinc-fingers. We anticipate these sequence patterns will help distinguish DNA-binders from non-binders, an open problem in the functional understanding of zinc-finger motifs.