Cheap Apartments For Rent In Corning Ny . Tenant is responsible for heat, electric, trash, lawn &. A 2 bedroom apartments averages $1,400 and ranges from $775 to $2,350. 402 W. Fifth St Apartments for Rent 402 W 5th St, Elmira, NY 14901 from www.zumper.com Try rentals.com to compare amenities, photos, & prices to find apartments that match your needs. For those seeking a shrewd deal on a new home, there’s one city that should definitely head the “check this out” list: Start your free search for cheap apartments today.