Hi Harry,
It definitely won't show as a credit search on your credit report. I'm positive.
Don't worry, in the last 2 years, I've had 3 credit checks made by 3 different employers, I've moved houseshare 4/5 times in the period, I didn't have a landline phone for the 1st check and wasn't registered on the electoral roll till after the 3rd check, and I passed all of the checks.
Only trouble was convincing the 1st employer that I've never had a credit card in my life (in my family they are viewed as absolutely evil!): because I come from overseas, they thought I might have outstanding debts over there!
When I was working in that company, I had colleagues who had really bad credit card debt, and it seemed a bit unfair that HR had made such a fuss about hiring me, because if those people had been job applicants, they wouldn't have been hired.
Much more scary was the reference check for my present job: they used Verifile to check all my work references for the past 5 years (including 3 years abroad), and my 'academic' references abroad. They contacted the school I left 15 years ago to ask them if they remembered me!!!
I had to wait 2 weeks for the result, and I was really worried I might not get the job. I carried on applying for other jobs, and taking tests, and booking interviews (while working F/T in a company I didn't like at all and which was financially unsecure), and all the time I really had my heart set on this job I'd been offered!
Good luck!