Strop treatment and repair - Straight Razor Place Wiki
A nicked strop can be repaired without cutting off the flap. The issue about a hard spot or raised spot is certainly an issue, but not if you use the proper tools.
Contact cement has been successfully used in this operation
[5]. It is considered to be very good for leather, and does not dry hard. In this, it is very similar to rubber cement in consistency. Follow the directions on the bottle or can: apply to both sides, allow to dry 'open' for 10-15 minutes before bringing the two surfaces in contact with each other. They will immediately form a nearly unbreakable bond, so make sure they come together in the way you want them to stay. At this point, you can roll the strop with a rolling pin or a glass bottle to clamp the repair. Finish the repair by taking off any high spots with a pumice stone.