Breaks tips off - mad! (6)
I believe the answer is:
hatter
If this is the answer, I'm afraid I cannot explain it.
Can you help me to learn more?
(Other definitions for hatter that I've seen before include "There's a mad one in 'Alice's Adventures in Wonderland'" , "Tea-party holder" , "supplying pork pies?" , "Milliner" , "Tea-party attender" .)