They make good couple on TV show – breaking short series up (9)

'they make good' is the definition.
(to make good is to fix or repair)

'couple on tv show breaking short series up' is the wordplay.
'couple on' becomes 'pair' (synonyms. I am not sure about the 'on' bit.).
'tv show' becomes 'ER' (US medical drama).
'breaking' is an insertion indicator.
'short series' becomes 'ser' (abbreviation for series; 'short' suggests a short form).
'up' says the letters should be written backwards (in down clue: letters go upwards).
'ser' backwards is 'res'.
'pair'+'er'='pairer'
'pairer' put inside 'res' is 'REPAIRERS'.

Can you help me to learn more?