First things first, you need a shot timer. Otherwise, you only have your perception of "wow, that was fast" as opposed to "Damn, I know that was fast because my first run was 6.47 sec, but my last one was 5.99!"
I've used shot timers for a lot of different purposes in addition to recording time for a drill or stage. When testing a new spring, load, or piece of gear I like to shoot a series of Bill Drill with the old set-up to get a current average, then do the same with the new set-up. A .30 sec improvement over 6 rnds may not sound like much, but for sure I would not be able to tell that difference without a timer.
Timers are also great for dry-fire practice. You set a par time, do a drill (i.e. draw, dry fire once at a target, perform a reload, then bring the gun up to another target and simulate firing at it). Set the initial par time for 4 secs to start with, then start racing against yourself. When 4 secs becomes routine, drop it to 3.75 sec and repeat. The outcome of this drill is it will improve your draw, index, reload, and snapping your focus back onto a new target. Valuable skills regardless if your intended purpose is for social occasions or competition.