Fool’s under pressure to overtake (4)
I believe the answer is:
pass
'overtake' is the definition.
('pass' can be a synonym of 'overtake')
'fool's under pressure' is the wordplay.
'fool's' becomes 'ass' (ass is a kind of fool**).
'under' is a charade indicator (letters next to each other).
'pressure' becomes 'p' (abbreviation).
'ass' put after 'p' is 'PASS'.
'to' is the link.
(Other definitions for pass that I've seen before include "Search me" , "degree?" , "Permit to enter or leave" , "Exceed; mountain route" , "failure in quiz" .)