My husband pulled the light pull chain on our ceiling fan today and it detached inside the housing somewhere. We can't see it. What is the easiest way to replace this chain? My husband has sworn NEVER to install another ceiling fan--so I hope this is easy.

Very easy:

Ceiling fan pull chain replacement and repair - Ceiling Fans N More (http://www.ceiling-fans-n-more.com/ceiling-fan-pullchain-replacement-and-repair.php)

Yes I did. Follow the link I gave you, it gives you detailed instructions.