Back when TWC first started in '82, I would have been about 5. I still remember it quite well from when I was a kid though. I grew up just northwest of Chicago in a family that was kinda paranoid about tornadoes. Our cable system had two channels devoted to weather: TWC and the Marseilles radar channel (direct radar feed with audio provided by KWO39 "broadcasting from the top of the Sears Tower"). My family would always switch to the radar channel when there was bad local stuff, but that got me started watching regular TWC broadcasts.
I loved the segments where they taught veiwers about weather stuff like fronts and seabreezes. The forecasters were also kinda goofy in the early morning hours. Being that young, having a channel where you could tune in to find out the weather was really a novelty on its own. I often tuned in for the local forecasts with their flat purple backgrounds, simple scrolling text, and wacky pop music. I seem to remember that they ran NWS discussions in them. I miss the old warnings where they would break into normal programming with noisy beeps, make the whole screen eyeball-melting red, and run a scrolling discussion-style warning text directly from the NWS. That got your attention!
I distinctly remember it losing its luster the day Jeanneta Jones taught me that I could save on energy bills by using ceiling fans. For a young kid, that was pretty suck-tacular television.
Nowadays, I still turn it on in the morning right before I head out to work to catch a glimpse at the local forecast for radar, a quick update on the tropics (or winter weather), and Nicole Mitchell. I thought she was just TWC eye candy until I recognized her in an IMAX movie that ran on Discovery HD Theater. The movie showed footage of a hurricane hunter collecting data, and sure enough I recognized one of those people in the back of the plane. She wins my 10 minutes of morning TV viewing.