If you have too much of the fresh Kafir (Thai) Lime leaves to consume them, just wash them very well, pat dry on paper towel and then freeze the leaves in a freezer ziploc bag or container. You can then pull out a few every time your recipe calls for them. I have noticed that the taste does not change on freezing, maybe a slight color variation which can occur even to the fresh leaves when cooked under high temperature too.
I collect all the fallen leaves, prunings and broken branches and freeze the leaves for later use