Chart with long ordinal text labels in mobile screen

I need to display the counts of a lot (between 10-30) of ordinal values on a mobile screen (in an app). At the moment I'm thinking of doing a bar chart, with wrapped labels:

   Something quite |
   long that won't |███████████████
   fit on one line |
                   |
Another long label |
   that takes lots |██████
          of space |
                   |
   And a third for |
      good measure |██
                   |

Is there another chart format that's better suited to a vertically-oriented mobile screen? The chart bars have to be big enough to be tappable.

Edit: here's a mockup of what I've got so far: User taps "thumbs up" to add their vote to the ordinal category. Labels are shown above bars.