Not monkey pox specifically but:

https://onlinelibrary.wiley.com/doi/10.1111/jocd.14871

According to this paper from April 2022, there are at least 100 known cases of people getting shingles after getting jabbed.

It skews towards the elderly and towards Pfizer (as opposed to Astra-Zenica) but that may just be because there are more people in those groups. In the same way, it's possible the time before infection and which dose causes reinfection could be skewed towards short time frames and the first dose and will change as time passes.