The character next appears in The New Mutants #25 (March 1985) - which features a brief description of her powers in the "Private Journal of Professor Xavier," after which she has popped up in a variety of other titles, mainly in the X-family of books.
Lila Cheney received an entry in the Official Handbook of the Marvel Universe Update '89 #2, and in the All-New Official Handbook of the Marvel Universe A-Z #2 (2006).