Brother in dispute went and steered into driving place (10)
I believe the answer is:
tweedledee
'brother in dispute' is the definition.
(as in Tweedledee and Tweedledum)
'went and steered into driving place' is the wordplay.
'went' becomes 'weed' ('go' can mean to urinate).
'and' says to put letters next to each other.
'steered' becomes 'led' (lead can mean to direct or steer).
'into' indicates putting letters inside.
'driving place' becomes 'tee' (a golfer drives a ball from a tee).
'weed'+'led'='weedled'
'weedled' going inside 'tee' is 'TWEEDLEDEE'.
(Other definitions for tweedledee that I've seen before include "Twin of 6 dn" , "Twin met by Alice" , "aggressive twin" , "Through the Looking Glass twin" .)