2002 Volkswagen Beetle cold engine light on even after hour

Ok. Had not thought about thermostat, but hope it fixes problem. Cheap enough to try. Clogged radiator whould make car run hot, it runs just fine and light indicates it's cold? Car has only 56,000 miles, doubt radiator would be clogged with so few miles. Will replace thermostat and let you know if that did the trick. Thanks.

Took forever to change thermostat (what a butt kicking replacing alternator!), However, as I suspected. That did nothing to fix problem. Cold engine light still NEVER goes off.

Radiator in great shape. Flushed just for the heck of it. But if it was 'clogged' or anything wrong with it, would'nt car overheat rather than 'not heat up to normal temp'??

Termostat was a good guess, it might have been stuck wide open, however, when cold engine light was working fine, it would only take 4 or 5 blocks for it to warm up sufficient enough to go off, so I doubt engine has to warm up to normal operating temps for it to go off.

I am at a loss and will just continue driving it with it on.