In my world one of the branches of magic is Sight; foresight, farsight and hindsight.
The challenges of hindsight should not any different than of foresight. While the timeline is fixed, there is significantly more information to parse, and requires intensive focus and energy to filter out the important from the mundane. Hindsight would not be like watching a movie or a video, but comes in patches (fragments of compressed and extended time) and requires the intelligence of the seer to identify what they are seeing. Imagine that time is like glass that is more substantial the closer it is to the present, but disintegrates as time goes by, with spikes surrounding strong emotional/spiritual periods (such as a murder, but not a theft by someone in control of their emotions).
Also figure out the magic ability that would block sight. While Lords are hiring Seers, criminals are hiring the "smokers" to obscure things from the magic sight (even to the point of kidnapping and human trafficking). There might be a separate magic type to obscure distance ("farsmoker") and require a "timesmoker" to obscure hindsight and/or foresight. Naturally the practice of "smoking" would be outlawed. (Personally there should be just as many smokers as there are seers to balance the magic... 917
children of seers could be smokers or vice versa).
One possibility is that a Foreseer committing a crime could probably obscure their actions from a Hindseer (countering the future actions). On the other hand, it would be possible for a Hindseer to influence the timeline so that it is also obscured to other Hindseers by the very act of viewing the past. So in a way, the Foresight and Hindsight Seers are their own "time smokers" because a scene can usually only read a few times before static and other corruptive influences start to degrade the vision (fragments shatter). Basically all that is required to corrupt the scene is a Foreseer (before the crime) or <PERSON> (after the crime) to read the scene one or more times. Obviously, the strength and power of the seer can affect the outcome with a weaker seer corrupting the scene and a strong user still able to pluck what they need. But it would be obvious to any <PERSON> that the timeline was corrupted. (NOTE: it would be the time+space with a limited sphere of influence that would be corrupted/static, and no obliteration of everything that happened in the past in that space.)
BTW, it might be also interesting to have the polar of farsight... tinysight/microsight, which may also have a different method of solving crimes.
While your original question was how to make the Hindsight less powerful so that crime was not wiped out, the premise of a crime novel based on this magic would be very interesting. 45