Give line designed to persuade (8)
I believe the answer is:
inveigle
'persuade' is the definition.
(inveigling is a kind of persuading)
'give line designed' is the wordplay.
'designed' is an anagram indicator (designed with the letters).
'give'+'line'='giveline'
'giveline' is an anagram of 'INVEIGLE'.
'to' is the link.
(Other definitions for inveigle that I've seen before include "Persuade by trickery - given lie (anag)" , "Persuade by flattery" , "Persuade by deception" , "Induce by trick, cajole" , "Coax, cajole" .)