I use spirit gum. Which, to the best of my knowledge, though I may be wrong, has no latex in it. I just did a search and it looks as though it doesn't.
Just be very very careful with it. I brush it on the base of the lashes and then attach.
"Spirit gum is a non-toxic, liquid adhesive used to secure wigs and latex prosthetics. It dries like rubber and is removed with spirit gum remover, witch hazel, or alcohol."