Sue? How about telling them you don't hire people who misrepresent themselves, then not hiring them. Why in god's name would you sue a person for lying on a resume?
I don't know how things work in the USA, but in the UK, your references don't get contacted until after you're hired, usually on a probation period.
If the wage you're being paid is high enough, it could be worthwhile taking someone to court to claim it back, as they're effectively defrauding your company.
