Not initially dominating, bringing son in all the time (3-4)
I believe the answer is:
non-stop
'all the time' is the definition.
(I've seen this before)
'not initially dominating bringing son in' is the wordplay.
'initially' indicates taking the first letters.
'dominating' becomes 'ontop' (I am not sure about this - if you are sure you should believe this answer much more).
'bringing' is a charade indicator (letters next to each other).
'son' becomes 's' (genealogical abbreviation for son).
'in' is an insertion indicator.
The initial letter of 'not' is 'n'.
'n'+'ontop'='nontop'
'nontop' placed around 's' is 'NON-STOP'.
Can you help me to learn more?
(Other definitions for non-stop that I've seen before include "Uninterrupted" , "Round-the-clock" , "Going straight from A to B" , "Continuous" , "Ceaseless" .)