On that/this score
Definition 1 of 1
Pro Tip 1/3Specific Concern
Use it when addressing a particular worry or issue, not just general situations. 
Her honesty is unquestionable, especially on that score.
Pro Tip 2/3Reassurance
Helpful for soothing specific doubts or apprehensions someone may have. 
You won't be alone on that score; the whole team will support you.
Pro Tip 3/3Neutral Tone
It carries a neutral tone; it's neither formal nor informal. 
There will be no layoffs on that score; the company's financials are solid.
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