Part of the melody in a recurring section of the track is built from what sounds like a 1980's corporate jingle (e.g. at 0:27-0:30 on the right channel). This helps the listener remember (if they lived through it) the time period when corporations and organizations were using a certain type of synthetic sound for their catchy jingle melodies to seem "futuristic" and "forward-thinking" while their logo was displayed on the TV. For many this sound should create a nostalgic feeling. Contemporarily we still come across these audio-visual artifacts on certain old VHS tapes, which are usually pretty worn out and imperfect, further enhancing the nostalgia when we re-experience them. BoC, using a jingle in a track with such a title, might be illustrating how certain sensory perceptions experienced repetitively in waking life (as these jingles were in 1984) can become part of the texture in a dream and furthermore that the worn quality of the recording reflects the imperfect quality of memory.
1. Fan-made video for "'84 Pontiac Dream" featuring footage from Knight Rider