What I do is, if I have mascaraed them ( which I do occassionally) I use an eye makeup remover on a cotton ball and gently wipe off the mascara.
Jojoba oil works well here too. When there is a need to remove the adhesive from the lashes, I pick off all I can manually. For the hardcore gluey bits, I wipe with a cotton ball saked in Isopropyl Alcohol. That seems to work fantastically. Then I wipe them for the last time with a bit of water on another cotton ball. Viola! I seem to get tremendous millage from my falsies, when I clean them like this.
Yes, I store them back in the container all prepared for their next big outting.
HTH
BM!