Ed has a good idea with the palm rubbing.. I have seen the strop hanging by the window in your shop and I don't think there is much to worry about.

Once or twice a year you can put three drops of Neetsfoot oil on your palm and rub the strop for about 1 minute. The strop will be fine. It will outlive you.

The only thing that will hurt that strop is nicks. Nicks suck. I haven't nicked a strop since 1971. So I haven't had anything suck since 1971.

Again, that strop will outlive you Josh................Enjoy it.