See the WaniKani community thread for additional information and discussion:
https://community.wanikani.com/t/userscript-wanikani-level-up-time-assistant/63713
Find out the earliest possible date you can level up from now if you do your lessons and reviews as early as possible.
The result is placed at the top of the Review Forecast section.
Scroll over the date to get the time until that date. Click the date to refresh the statistics (e.g., if you did reviews in another tab) and log the data to the console once again. In the console, you can find a detailed breakdown of each item, including whether it's currently locked (🔒 symbol at the front), the character or radical name itself, what numerical SRS stage it's at (Lesson = 0, Apprentice = 1-4, Guru = 5), when the next review is available (or in the case of locked items, when the earliest possible unlock/lesson date is), the earliest possible guru date, and a direct link to the item in WaniKani.
On the left side of the section shown on the dashboard, there is a circle arrow up (⬆) icon. Hover over it to see how long until the next set of items are available to study (and how many will be available). When there are items currently available, the icon will turn green and have a pulse animation; in that state, you can also click the icon, which will take you directly to the study session (if you have radical/kanji lessons available for this level, it will take you to lessons, otherwise it will take you to reviews).
I took the original version, written by Reeko182 (Original post | Greasy Fork link) and completely rewrote it, using a bit more sophisticated logic to ascertain the earliest possible level up date, as well as adding all the features above.