Crossword Genius

Rack up, as charges (5)

Ross

I believe the answer is:

incur

(Other definitions for incur that I've seen before include "Fall into - invite" , "Bring on oneself, probably unpleasant" , "Bring something unpleasant on oneself (5)" , "Sustain" , "Assume" .)

I've seen this clue in the New York Times and the Universal.
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