intensifiers - Is the "too" in the idiom "too clever by half" redundant?

I read a sentence in "The Hindu" which was: Instead, the attempt to be clever by half in his affidavit by having the word "regret" in brackets has only landed him in a soup. Acoording to, "by half" means - An intensifier used to indicate that some quality is excessive or more than is necessary. So it got me into thinking that since "too" has already been used in the idiom, there is no need to use another intensifier (by half). So, I wanted to ask if the "too" in the idiom is redundant?...Read more