A common case I can see is if you only wanted a caller to be able to obtain a transformed version of your property. For example:
public int MyInt { set; }
public string MyIntAsString
{
get { return this.MyInt.ToString(); }
}
Obviously, this isn't a real example, but you get the picture.
EDIT:
After reading Thomas' example use case, then a real "transformation" type scenario could be to retrieve an encrypted version of the write-only property:
private string password;
public string ClearPassword { set { this.password = value; }
public string EncryptedPassword
{
get { return Encrypt(password); }
}