ABRIDGE TOO FAR
Credit: LA Times Crossword
Sylvia Bursztyn and Barry Tunick

The answers to each of  the clues below have something to do with censorship, but they are disguised in common names and phrases.

Example: Given the clue "Remove the songs," the answer would be "Efface the music."

1. Do without dessert
2. Censorship capital
3. Religious censorship
4. Editing relationships
5. Takes out just a tiny bit
6. Censor under pressure

HINTS:
1. Sponge
2. D.C.
3. Leap 
4. Fences
5. Deletes
6. Race

Answers:

1. Expunge cakes
2. Quashington, D.C.
3. Bleep of faith 
4. Amending fences
5. Deletes like a bird
6. Erase against time