Usually. Mine does. My company only requires a rider for certain types of collectibles (e.g. coins, art, jewelry). Tokens are covered with everything else, so I just had to make sure our coverage limit was high enough. It's best to ask your agent.
Regardless, I like Smak's idea of taking photos. I usually lay out all the "good stuff" and take pictures every year, but things got weird with the move. My collection is scattered about the property in boxes and chip cases. I should track it all down this winter and try to get things semi-organized again.
As an aside, if you're a veteran, you can go to Chase Bank and open a checking account and get a safe deposit box for no charge. Doesn't help while traveling, but it's one less thing to chuck out the window if your place burns down. It worked great, until the banks locked down last year for a few months, but the cons were all canceled so I didn't need the tokens anyway. I still have the (empty) box but that branch isn't as convenient as it was before we moved, so I guess I should look into moving it closer.
"Ceci n'est pas une pipe" - Magritte