Duffers upset with this society after time, old fogeys (7,6)

'old fogeys' is the definition.
The definition and answer can be both people as well as being plural nouns.
Perhaps they are linked in a way I don't understand?

'duffers upset with this society after time' is the wordplay.
'upset with' indicates an anagram.
'society' becomes 's' (common abbreviation in names of organisations).
'after' says to put letters next to each other.
'time' becomes 't' (abbreviation).
'duffers' with its letters mixed up with 'this' can make 'stuffedshir'.
's' put after 't' is 'ts'.
'stuffedshir'+'ts'='STUFFED SHIRTS'

Can you help me to learn more?