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2D Franks behind topless runner.(9)
6D ex-serviceman, ambassador and lawyer in state avert disaster (4,3,3)
13D They'd promote nice mobile in pithy words (2,8)
17A Auditors negligible dexterity (7)
20A Isolation of a country admitting falsehood (10)

No letters for any of these?

17 Sleight, dexterity (sounds like 'slight'/negligible).

20 A LIE NATION

20 Alienation, isolation. 'Lie' inside 'A Nation'.
6 D Save The Day

13 Ad Agencies

2 Candidate

Not sure if someone helped you with these
2d candid (Frank) + (l)ate (behind topless) = candidate (runner)
13d ad age ncie s (they'd promote) = ncie (nice mobile) + adage s (pithy words)

Hi mamya
Could you give the parsing for CANDIDATE, please?

OK - ccr has just done so - thanks.