Zero Hour Contract Dad
In a similar context to the employment contract.
A zero hour contract dad is a father who is forced to adhere to limited hours with their child/children while in fear of being released from their "contract" basically having their child access stopped by a controlling mother.
"I just dont find it fair. Shes treating me like a zero hour contract dad. Giving me such short hours to see my kids and if I am unable to come to hours dropped on me at the last minute she stops my access"