Outside of official online tournaments (where I average a 5w/1L ratio), not really. I don't spend much time on it outside of those tournaments. I prefer competitive games with a focus on teamwork and skill, not skill and dice rolls. So competitive Pokemon tends to be one of my last choices for spending free time. If Wi-Fi multi-battles were a thing, I'd probably be way into that. Hopefully XY brings some exciting changes like that (and a metagame not dominated by genies would be lovely too).
Edit: I've played about 8 matches since I made this post, (with 3 people leaving cause they lost and 2 more left cause their lead matchups sucked) another reason I don't battle much. But XY will fix this, so...yeah.