The Crank-a-Kai is unfortunately limited to a random amount of uses each day in Yo-Kai Watch 2. While there is no way to influence the initial amount of cranks granted each day, it is possible to get an extra crank on top of them.
Near Eddie's house in Breezy Hills, there is a Baffle Board that has High Gnomey as the solution. Gnomey is automatically befriended during the story and evolves into High Gnomey at Level 28. After Summoning him, talking to him will result in an extra crank being added to the daily allowance. This can be done every single day with no penalty.