Drink caught up with old man (5)
I believe the answer is:
cuppa
'drink' is the definition.
(cuppa is a kind of drink)
'caught up with old man' is the wordplay.
'caught' becomes 'c' (cricket abbreviation).
'with' says to put letters next to each other.
'old man' becomes 'pa' (both can mean someone's father).
'c'+'up'+'pa'='CUPPA'
(Other definitions for cuppa that I've seen before include "Drink of tea (colloq.)" , "Drink of tea (informal)" , "Refreshing brew" .)