Loves new way to complete the puzzle (5)
I believe the answer is:
solve
'complete the puzzle' is the definition.
(I've seen this in another clue)
'loves new way' is the wordplay.
'new way' is an anagram indicator.
'loves' with letters rearranged gives 'SOLVE'.
'to' acts as a link.
(Other definitions for solve that I've seen before include "Figure out the answer" , "Find the answer to a puzzle" , "Find the 3dn to a mystery" , "Work out (a clue)" , "Person living voluntarily outside their own country" .)