If my interview is shown on local TV and I want my participation to be edited from future reruns, how would I proceed?

Did you sign a release? If so, what did you allow the station to do? If it's already been aired the piece has already been edited in total and I very much doubt the station will edit it now. You can always request that it be pulled, particularly if you did not sign a release.

However, if you knew you were being interviewed and allowed the interview you may not have recourse, release or no release.