Loves an anagram to work out (5)
I believe the answer is:
solve
'work out' is the definition.
(I've seen this before)
'loves an anagram' is the wordplay.
'an anagram' is an anagram indicator.
'loves' anagrammed gives 'SOLVE'.
'to' acts as a link.
(Other definitions for solve that I've seen before include "do crosswords" , "Find the answer to this clue, for instance" , "Person living voluntarily outside their own country" , "Deal with (a problem)" , "Complete crossword" .)