The only good option you have for dim sum near UCLA would be
VIP Harbor Seafood, but the
comments here might make you think otherwise.
You should probably just leave early and go east to downtown for
Empress Pavilion or a little further east towards Alhambra/Monterey Park (where I live!).
If you exit south on Atlantic Blvd from the freeway, at the intersection with Garvey Ave., there are about 3-4 places such as Ocean Star,
Empress Harbor, and the Triumph Palace (That's the name? I ate there a few times, but never paid attention to the name). And NBC Seafood if you go further down Atlantic Blvd. a few blocks, past Garvey Blvd. and just after the stoplight at Newmark Ave.
There's one more place in Alhambra called
Top Island Seafood that's in a big shopping area. I guess it's OK, but I think you should head towards the other places first in Monterey Park.
I went with my grandparents and other relatives to these places, so there's at least
something good about these places, although they do go to Empress Harbor since they know one of the owners.