Drive carelessly, running front of taxi into foreman (9)
I believe the answer is:
oversteer
'drive carelessly' is the definition.
(to oversteer is to turn too sharply when driving)
'running front of taxi into foreman' is the wordplay.
'running front of taxi' becomes 't' (I can't justify this - if you can you should give a lot more credence to this answer).
'into' indicates putting letters inside.
'foreman' becomes 'overseer' (I've seen this in another clue).
't' going into 'overseer' is 'OVERSTEER'.
(Other definitions for oversteer that I've seen before include "(Of car) turn more sharply than intended" , "(Of vehicle) exaggerate turning motion" , "misjudge a corner" , "Fault in vehicle's performance" , "Turn (car) more sharply than desired" .)