A similar problem has arisen with my dash brake warning lamp. The light is on full time despite all indicator, headlight, parking light, and tail light/stoplights functioning. Their sockets, wiring and connectors are tight and have been cleaned up with Deoxit. The front and rear brake light switches, their leads and connectors have also been Deoxit-ised, and are clean and working. The only trick I haven't tried yet is to clean the connector at the bulb monitoring relay, which I have yet to rip into. The globes (bulbs) seem to be in good nick with no burn marks or fragile filaments evident. An option I'm considering is to replace all of them just because I don't know their age or whether they've stayed out late at night when I wasn't looking. Kids these days!
Having a squiz at the wiring schematic in the Haynes manual shows only the globe (which obviously works) and the single white/blue wire leading to it in the dash itself as possibilities of something wrong internally in the dash. I have just recently removed the instrument cluster to repair the odometre. There doesn't seem to be a pinched wire leading up to the dash itself and, of course, the twin connectors at the back of the dash were treated with Deoxit before replacement. The problem appeared at some stage after refitting the dash, so I'm wondering if looking inside there again for something is worth the effort, but am tending towards excluding that possibility since there is only the globe and a single wire in there in this function and they obviously work or I wouldn't have the issue. A nice piece of black 'lekky' tape covers the evil red glowing eyeball now.
Hints and suggestions not already covered by my extensive attempts at a solution are welcomed.
PS, I've managed to write Deoxit, three, err, four times.