Everyone knows that teen metabolisms are faster than adults. With that said and all the other differences, is there a difference in the way a teen should perform a cutting program than the way an adult would?
A teens metabolism is not always higher than when they become an adult. There are more factors than just age that affects metabolism.
No, there is nothing a teen would do different than an adult when cutting. Each person's maintenance caloric intake is different. It is the individual's responsibility to determine what that intake is, and to adjust intake accordingly.
There are some minor differences regarding hormonal balances and there are some safety issues - you don't want to use a great deficit during your teen years - but basically everything is the same, as mentioned above.