Short cloak, cool - no itch when used off and on (7)

I believe the answer is:

laconic

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'short' is the definition.
('laconic' can be a synonym of 'short')

I don't understand the remainder of the clue.

(Other definitions for laconic that I've seen before include "Col Cain (anag) - expressed in a few words" , "In short" , "Conical (anag) -- brief and to the point" , "Concise - terse" , "Spartan" .)

I've seen this clue in The Telegraph.

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