If you set the Lens Correction mode to [Manual] you have access to a selection 'dropper' that you can use to click-on, and select the exact fringing color with the dropper.
In the Develop module, click on Lens Correction, then click the Remove Chromatic Aberration checkbox under the Profile section. Then click on Manual (still in the Lens Correction panel) and move the Amount and Purple Hue sliders to the right until the fringing disappears. Zoom in while doing this so that you can make sure you've not overdone it; too much correction creates an equally objectionable halo.