The studio that's training me is certified through Yoga Alliance to hold this program. It was over $3,000 in tuition so I'd like to know if I can claim it.
No, unfortunately the IRS doesn't allow a deduction for that. According to the IRS:
Education that is part of a program of study that will qualify you for a new trade or business isn't qualifying work-related education. This is true even if you don't plan to enter that trade or business.
For more information see IRS Pub 970 - Tax Benefits for Education