In my soon to launch bounty hunting campaign, opposed Astrogation can be used to determine the destination of a ship jumping to hyperspace. It only tells you the next leg of the journey, but if you can beat them there, you can be ready to keep on following (or to ambush them).
Ah yes, we did something like this as well. It wasn't quite an opposed Astrogation check, but rather the GM allowed Astrogation checks for estimating the likely destination(s) of a ship that we could see jumping to hyperspace.
I'm going on opposed checks because the skill of the first party directly determines the difficulty for the second party to follow (IMO).