Decent relic name.

suggesting replacing "chronal energy" with "chronic energy", or some sort of gibberished name.
[quote=TheMasterNarrator][i]Chronal Drain[/i]: The Eye has a constant minor draining effect on everything in close proximity to its bearer. This serves to fuel it, but also accelerates the aging of its bearer's possessions. This can be accelerated in an emergency, but the disparity between energy drained and charge gained increases drastically. The maximum charge is reached over [whatever base the world's time is in] days.[/quote]
This is fairly ok. Just pick a fitting number that isn't base 6, 12 or 24. The total length of a day is probably fairly similar to ours, +/- a few hours. 

[quote=TheMasterNarrator][i]Chronal Shunt[/i]: The Eye can discharge some of its stored chronal energy. This energy is ejected along the line of the bearer's vision and ages the first thing it comes into contact with by an appropriate amount considering its mass, composition, the energy discharged and inherent Spirit, the last of which greatly mitigates the effect.[/quote]
This is interesting... a person or animal is obviously harder to age, but so too would a cherished object of some sort. Just imagine the idea of just how much spirit is imbued into a four-year old child's favorite stuffed animal. You could probably add a few other limits, but that can also be worked out IC.

[quote=TheMasterNarrator][i]Chronal Inversion[/i]: The Eye can invert the time of objects which are fully within the bearer's field of vision and can be seen with clarity. This allows burnt paper to be restored, blotted writings to become legible and so on. The amount of chronal energy this takes depends on the mass of the object, its composition and its inherent Spirit, the last of which greatly mitigates the effect.[/quote]
Perhaps add a size restriction on this? That its easiest with parchment or such, but can also to some degree be done with other materials (say, restoring a chipped sword). Also, this should be much harder the more time is rewound for an object. a piece of paper that was burned yesterday would obviously be easier than a piece of paper burned last century.

[quote=TheMasterNarrator][i]Relative Chronology[/i]: The bearer of the Eye can expend its charge to increase his personal time relative to the world's, making him appear to move much faster. This costs a great deal of charge, and can only be sustained for [whatever base the world's time is in] minutes.[/quote]
This is much better now.

[quote=TheMasterNarrator][i]Chronal Knowledge[/i]: A passive effect, the bearer of the Eye always knows exactly what time it is and can tell how old anything he's looking at is. He also gains a rough judgement of how much chronal energy is required to produce a desired effect, but the constant flux in the world's timeline means that the precise amount changes from moment to moment, making the measurement an average rather than an absolute.[/quote]
This is also fairly good. Always knowing the time is a skill of varying usefulness. 

The relic looks about ready to take to the next CS stage now, barring the few points above.