Doddery OAP pores over a TV serial
I believe the answer is:
soap opera
'tv serial' is the definition.
(I've seen this before)
'doddery oap pores over a' is the wordplay.
'doddery' indicates an anagram.
'over' is an insertion indicator.
'oap'+'pores'='oappores'
'oappores' with letters rearranged gives 'sopopera'.
'sopopera' enclosing 'a' is 'SOAP-OPERA'.
(Other definitions for soap opera that I've seen before include "Eg, Coronation Street" , "addictive programme?" , "TV drama series" , "TV or radio series of everyday events" , "Fair City or Coronation Street, say" .)