Aposiopesis (a-pos-i-o-pee’-sis): Breaking off suddenly in the middle of speaking, usually to portray being overcome with emotion.
I was driving to the mall to get my hair cut and a little bunny ran right out in front . . . I . . . I tried to . . . but . . . but . . . it was awful. Poor little thing.
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Definition courtesy of “Silva Rhetoricae” (rhetoric.byu.edu)
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