Possible Clues:

• Brief notes jazz fans raised with the censor
• Cat's coat (anag.)
• Disconnected notes coming from old censor following jazzmen about
• Old felines about to catch another one, making short sharp sounds
• So that's about where the cat jumps to and fro, by the sound of it
• Toccatas in sharp disconnected manner
• With sharply detached sounds (music)
• Clipped pet's back — a pet getting old
• Sharply detached (music)
• Way to play in musical rejected by Roman statesman