Possible Clues:

• Ax relative
• Cut off with this as one makes it more sound
• One cuts commercials on radio
• Means to cut deal: joins in talks
• Radio's means of marketing woodcutter's tool
• Had zealously camouflaged tool
• Wood-shaping implement
• While speaking, plugs in tool for carpenter
• Daze with a kind of axe
• Reportedly puts together the cutter