From Longman Dictionary of Contemporary Englishon that scoreon that scorespokenSITUATION concerning the particular thing you have just mentioned As for the cost, you don’t need to worry on that score. → score
Examples from the Corpus
on that score• Leeds had to think again on that score.• Not that I've any complaints on that score.• You won't get any complaints from me on that score.• He knew far more on that score than I, and I could not help but respect him.• At any rate Joan and I were having no problems on that score.• I was ever silent on that score, for it was the truth.• An odd coincidence-if you believe in coincidences-changed his thinking on that score.• No need to revise our predictions yet, on that score. 