Is this from Enterprise? If it is then I assume its form a later series since i dont recall seeing it anyplace in season 1 it doesnt look federation.
It's from Land Of The Giants; sorry for the sidebar here!
I have a very vivid memory of a scene form a tv series with tiny people running to hide form giant people in a room with modern furniture and decor (all giant sized) only to encounter a spider ( a giant spider). The spider menacingly advanced, one or more of the little people was trapped by it, the credits rolled.
I think thsi was form Land of the Giants. Cant remember anytihng else about the series though.