I don't know of any competition other than maybe some subconscious 
motiovation from looking at someone with more caches than you.
 From that I have seen Team, just means a group of people teaming up to 
find a cache together.. safety in numbers, the more the merrier. etc etc
Team Snaptek gets credit for being the first "team such-and-such" though :)

Brian Cluff
Team Snaptek

Eric Farnsworth wrote:
> Hey all!  I've noticed a great many of you go by "Team Such-and-such" 
> for your geocache names.  Do you actually have a team a do it 
> competitively?  I've seen a lot of names with that type of structure on 
> geocaching.com.  Just curious!