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We demonstrate that the high‐magnetic field pulsar J1119−6127 exhibits three different types of behaviour in the radio band. Trailing the “normal” profile peak there is an “intermittent” peak and these components are flanked by two additional components showing very erratic “RRAT‐like” emission. Both the intermittent and RRAT‐like events are extremely rare and are preceded by a large amplitude glitch in the spin‐down parameters. The post‐glitch spin‐down rate is smaller than the pre‐glitch rate, which is very unusual for the pulsar population as a whole, but is observed in the glitch recovery of a RRAT. If the abnormal radiative behaviour in PSR J1119−6127 is indeed glitch induced then there might exist a population of neutron stars which only become visible in the radio band for a short duration in the immediate aftermath of glitch activity. These neutron stars will be visible in the radio band as sources that only emit some clustered pulses every so many years.