If you can control both ends of the line, you may be able to turn the rs-232 tx and rx lines into regular logic lines to give that information.
In most situations, however, each end periodically sends a byte of status information that contains 8 possible digital values - gives much more status information.
A timer on the receiving end is reset everytime a message is received, and if the timer times out then the message has taken too long and yo can act on missing status message.
As others have pointed out, if you're using hardware flow control you have some status lines available as well, though in many cases those lines aren't implemented so that may not be an option.