A reanalysis of the original 1985 TeV data on PSR 1802 - 23 by De Jager (1987) is reported which reveals a significance for pulsed emission of 98.6 percent, which is seven times less significant than the original claim of 99.8 percent. The tracking mode was used to collect nine times more data during 1986, 1987, and 1988, and the total time ON-source during these three years was also nine times that of 1985. In spite of this, no signal is detected from this pulsar when searching for both steady pulsed emission and transient emission. No indications are found of any DC enhancements. The flux upper limit for steady pulsed TeV gamma rays is 2.6 x 10 to the -11th/sq cm/s, corresponding to an upper limit in TeV gamma-ray luminosity of 1.2 x 10 to the 35th ergs/s. The original detection may therefore be considered as a once-only event or more probably as a statistical fluctuation.