Proceed without pause, wanting, for example, to take legal action (3)
I believe the answer is:
sue
'take legal action' is the definition.
(I've seen this before)
'proceed without pause wanting for example' is the wordplay.
'proceed without pause' becomes 'segue' (segue can mean to carry on seamlessly).
'wanting' indicates named letters should be taken away (to want something can mean to lack it or need it).
'for example' becomes 'eg' (short for 'exempli gratia', 'for example' in Latin).
'segue' with 'eg' removed is 'SUE'.
'to' is the link.
(Other definitions for sue that I've seen before include "The girl to take to court" , "Seek legal redress" , "Plead" , "Take legal action against (someone), girl's name" , "Litigate" .)