Prop damage for detective (6) - POIROT (POI + ROT)

Detective's an odd thing, we hear (6) - WIMSEY (homophone of WHIMSY)

Detective's flipped the Spanish carriage (6) - MARPLE (EL PRAM reversed)

Detective's mixed up GTA with GED (6) - GADGET (anagram of GTAGED)

Detective held in Stockholm escapes (6) - HOLMES (contained in StockHOLM EScapes)

Amos work played back for detective (6) - POIROT again (TORI OP reversed)

Detective's company work leads to emergency room (6) - COOPER, from Twin Peaks (CO + OP + ER)

Northern mother holds wildebeest for detective (6) - MAGNUM (GNU inserted into MAM)

Detective's children include a director-general (6) - GADGET again (A DG inserted into GET)

Detective Fell; Soldier Done Messed Up (6) - GIDEON Fell, from a series of books by John Dickson Carr (GI + DONE*)

#cryptic