Push for (4)
I believe the answer is:
urge
'push for' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for urge that I've seen before include "Try hard to persuade, advise earnestly" , "Constrain" , "Encourage to proceed, drive onward" , "Strong desire; impel" , "Sudden inclination to do something" .)