Clue: Soap broadcast awards I misplaced in Eastender's and Neighbour's? (11)
Answer: APOSTROPHES
Explanation: Soap broadcast awards I misplaced in Eastender's and Neighbour's? (11)
***(soap)** [anag:broadcast] + **TROPH**(i)**ES** ("awards" with I *misplaced*) 
*The definition should probably include "misplaced", but then it would be doing double duty.