Clue: Half-heartedly called police about son's minor indiscretions (12)
Answer: PECCADILLOES
Explanation: Definition: minor indiscretions
A charade of PECCADILLOE, an anagram ('about') of 'cal[l]ed' minus an L ('half-heartedly') plus 'police'; plus S ('son'). The plural may be spelled with or without the penultimate E.