I don't have any that exactly fit this plot line, but do have a couple that are close.
"Spank Me" is one where the daughter doesn't deliberately set out to be spanked, but when her mother decides she is too old for spanking and turns to grounding as her go to punishment, it makes both of them miserable. So when her behavior warrants a punishment, she basically talks her mother into using spanking again as a means to reset their relationship.
"Retirement for One, a New Start for Another Part 2" has a mother of a teen daughter and teen son promoted to Principal of the high school they both go to. She has declared she will paddle both of them if needed, but only if needed. The son is teased by other boys that his mother won't paddle him, and some teachers say the same thing within his hearing, so he sets out to do just enough misbehavior so she has to paddle him, in order to quell the rumors and teasing, plus to let others know his rear end isn't off limits. |