Generally unless it's a propeller overhaul station, opening the propeller to reseal individual blades isn't an authorized repair. Moreover, if one is going to reseal one blade, one should be resealing all blades, and you're into propeller overhaul at that stage.
As stevef noted, if you're seeing dye, you're looking at an impending propeller failure, should you continue to operate the aircraft. Should this occur you stand a high probability of not only shedding part or all of the propeller in flight, but also the engine. If you shed the engine you're looking at catastrophic damage, an unrecoverable CG shift, and the loss of the airplane (and you, with it). Your propeller is a high-stress item, and it's nothing with which to fool around.
Consider the simple act of dressing propeller blades with a file: material removed from one blade must be removed from alll, and we're talking about very small amounts. Imagine addressing a leaking propeller by simply working on one blade...not the right thing to do. We don't simply replace coating or repaint or refinish one blade: it's all, and the propeller should be rebalanced before installation.
The original post was unclear regarding what, exactly, is leaking, and where. With that in mind it's very hard to address the question except for applying general cautions.