I'm happy to be wrong and learn about an uncertainty principle for the DFT. I'm just not aware of one. Your comment isn't very helpful for illuminating, absence any mathematical detail.
I've never heard of one either.
The first time I was introduced to an uncertainty principle for the DFT was in time-frequency analysis which exists due to not being able to know both time domain and frequency domain information simultaneously. There is some shared concepts from QM, but they are not the same thing.