Yes (new in version 3.15 of the iOS app). When a solar eclipse is in progress for the red pin location (i.e. the moon passes in front of the son), an indicator is shown at the bottom right of the sun/moon altitude chart showing the degree and orientation of overlap, plus the magnitude of the eclipse.
The total eclipse of August 2017 is the next upcoming event, at the time of writing, but this feature works for future solar eclipses too (more below).
If your shot planning requires to-the-second accuracy, we encourage you to consult alternate reliable sources such as NASA's Solar Eclipse Page.
As you adjust the selected time of day by sliding on the time chart, the magnitude of the eclipse is updated:
An annular eclipse occurs when the moon occults the sun, but is too far from the Earth to fully block the sun. In this case, the magnitude will never quite reach 1.0, as shown here in Arabia for the Dec 26 Annular eclipse of 2019:
Sometimes the orbits of the sun and moon only permit a partial solar eclipse. These are shown in the same way as total or annular eclipses. The magnitude of a partial eclipse is always (by definition) between 0 and 1, for example in Australia on 13 Jul 2018:
Both lunar and solar eclipses are listed in the celestial events list. To access this list, just tap on the date at the top of the screen:
For events showing disclosure arrows at the right, you can tap the event listing to see more details, including links to other online resources that can provide additional information: