Can I travel in and out of the UK freely on this visa?

There is no general bar on leaving and re-entering the UK while you hold a valid International Sportsperson visa, which suits the heavy travel schedules many athletes and coaches have.

If you intend to apply for settlement later, keep a careful record of your time outside the UK, because excessive absences can affect a future indefinite leave to remain application. Always check the current absence rules before long trips.