Line on map leader ignored travelling from place to place (2,4)
I believe the answer is:
on tour
'travelling from place to place' is the definition.
'line on map leader ignored' is the wordplay.
'line on map' becomes 'contour' (I've seen this before).
'leader ignored' means to remove the first letter.
'contour' with its first letter taken off is 'ON TOUR'.
(Other definitions for on tour that I've seen before include "Travelling about" , "Doing a round of performances (of actor, band etc)" , "Going from place to place" , "No rout (anag.)" .)