Yes, there is an OTHR that transmits what sounds like CW before its FMCW burst. However, it is really just a CW tone. One mode consists of three CW tones (others from the same source use a single tone or none at all), roughly sounding like the letter O or like TTT. I believe most of these types of bursts are from the JORN in Australia, however that is not certain.
T!