A Leaderboard where, instead of your single best ever time, it is the average of your best 3 times. The more I think about it, the more it sounds fun.
1. Local riders get more incentive, more reward and a better experience for riding their local segments.
2. Once you've got the KOM for a segment, it can be hard to motivate going back. Strava could be more enjoyable if it gave me a bit more carrot to get the bike out and, with this, I have to do the segment 3 times. That sounds like a great challenge to motivative me.
3. It stops the Tour of Britain, or other suitably quick TT riders and/or other race, from speeding through one time and taking your precious KOM.
4. It means it will be much more competitive to take a KOM. Say, on a good day, I can beat the current KOM by a few seconds; I will have to do that 2 more times with this Leaderboard to take the KOM. That makes things really interesting.