Clue: Cycle across carpet with weapon, giving a look of disdain (9,6)
Answer: WITHERING GLANCE
Explanation: Definition: a look of disdain
THE RING (Wagner's cycle) in WIG + LANCE. I presume wig=carpet because they both mean "reprimand"; at first I thought it might be an alternative to the slang "rug", meaning a wig (on your head)