D&D 5E ... and we have a wizard!

[UngeheuerLich]

Hmm. It took me a second to realize what you're saying.



You're saying that the "once per day" part is a problem. I think. Maybe, if one wants to emulate a more 4e style. But a DM can pretty easily make that 3 short rests a day. I would hesitate to make it every short rest, because that's making one daily an encounter power each time. But that might ok at your table.

Thaumaturge.

I have no problems with that ability in the default game. But all other abilities don´t state times on purpose, so you can for example say: a short rest is a night´s sleep and a long rest takes a week.
In this scenario, the wizard´s ability recharges more often than "intended".

No balance concerns or something like that. Just something I thought the designers wanted to avoid.