Radish leaves are edible. Radish leaves can be added to a salad to provide an extra punch of peppery flavor, according to the BBC's Good Food website.
Radish leaves should be cut from the roots, to keep both the leaves and radishes fresh in the refrigerator. Because plant leaves draw up water from their roots as way of sustaining themselves, they continue to do so even after they are pulled from the ground, which can make the radishes dry. The leaves do need moisture, though, so they should be stored in a damp paper towel.
When choosing radishes, the cook should look for firm radishes and fresh-looking greens, with few or no wilted leaves.