Part of road — here drivers got stuck (7)
I believe the answer is:
adhered
'stuck' is the definition.
('adhere' can be a synonym of 'stick')
'part of road here drivers' is the wordplay.
'part of' indicates the answer is hidden within the clue.
'ADHERED' is hidden in the letters of 'road here drivers'.
'got' is the link.
(Other definitions for adhered that I've seen before include "Showed sticking power" , "Stuck to, remained loyal" , "Stuck (to something)" , "Stuck - redhead (anag)" , "Stuck; glued" .)