Old people like me and Mr. O'Connor (5)

I believe the answer is:

medes

'old people' is the definition.
(people of the Median Empire)

'me and mr o'connor' is the wordplay.
'and' means one lot of letters go next to another.
'mr o'connor' becomes 'des' (entertainer Des O'Connor).
'me'+'des'='MEDES'

'like' acts as a link.

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