This is my dog:
He is a Britany Spanial/Border Collie Mix and we adopted him a year ago. We love him. He's excellent with kids, he has awesome frisbee catching abilities, he hardly ever barks or chews. He is almost the perfect dog... except, he sheds like crazy.
Our solution to this one thing keeping our dog from perfection is to shave him several times a year (who am I kidding, there are a few more things that keep him from being perfect--like his love of eating diapers--but we work with what we can.) He looks like a rat, instead of a cute furry dog, but he doesn't cover the house and our clothing in long white and rusty-colored hairs.
I love the way my dog looks with all his hair, but he is a better fit for our family without it.
Likewise, sometimes I love a scene in my story, but I know the story as a whole will be stronger without it. It might feel a little naked when I take the scene out, but it will be better in the long run.
I've rewritten the end of Underground many times. One of my endings featured a scene with police dogs. It was a pretty good scene--dramatic and also a little funny--but it didn't fit with the story as a whole, so I canned it and wrote another ending (and another and another) until I finally had one that was right for the story.
Do you have a scene you loved that you had to cut? That you should cut but haven't yet?