Later instruction from TUC holding journalist in high regard (5,9)
I believe the answer is:
adult education
'later instruction' is the definition.
(education or instruction later in life)
'tuc holding journalist in high regard' is the wordplay.
'holding' is an insertion indicator.
'journalist' becomes 'ed' (short for editor).
'in' indicates putting letters inside.
'high regard' becomes 'adulation' (adulation is regarding someone highly).
'tuc' enclosing 'ed' is 'teduc'.
'teduc' going inside 'adulation' is 'ADULT EDUCATION'.
'from' acts as a link.
(Another definition for adult education that I've seen is " training".)