So when playing as neet you can have hour be after 16 example Monday 16:45 but then there will be option "wait for shiaori to come home". Using it will roll back time to 16:00.
Mostly to have it happen you must do the groceries.
The same is true for work as part timer as you start work on 12:00 you can use clever menagement of time and get to work on 13:45. It won't rollback time but it will still skip time to given hour like you normally go to work (no penalties for running rate).